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Sudut lancip  adalah ....

Pertanyaan

Sudut lancip sin space 253 degree adalah ....

Pembahasan Soal:

Ingat kembali:

sin space open parentheses 270 degree minus alpha close parentheses equals negative sin space alpha 

Maka:

sin space 253 degree equals sin space open parentheses 270 degree minus 17 degree close parentheses equals negative sin space 17 degree 

Jadi, sudut lancipnya adalah 17 degree.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

W. Lestari

Mahasiswa/Alumni Universitas Sriwijaya

Terakhir diupdate 06 Juni 2021

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Pertanyaan yang serupa

Bentuk sederhana dari:   adalah ...

Pembahasan Soal:

Ingat!

table attributes columnalign right center left columnspacing 0px end attributes row cell cos space open parentheses 90 degree minus alpha close parentheses end cell equals cell sin space alpha end cell row cell cos space open parentheses 180 degree plus alpha close parentheses end cell equals cell negative cos space alpha end cell row cell sin space open parentheses 270 degree minus alpha close parentheses end cell equals cell negative cos space alpha end cell row cell sin space open parentheses 360 degree minus alpha close parentheses end cell equals cell negative sin space alpha end cell end table 

Maka, bentuk sederhana dari operasi hitung trigonometri di atas adalah:

Error converting from MathML to accessible text. 

Sehingga, begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 90 degree minus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 360 degree minus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 180 degree plus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 270 degree minus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table end style.

Jadi, begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 90 degree minus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 360 degree minus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 180 degree plus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 270 degree minus straight A right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table end style.

Roboguru

Hitunglah nilai dari  ...

Pembahasan Soal:

Diketahui:

Operasi sudut trigonometri.

Ingatlah kembali rumus Perbandingan trigonometri Sudut-sudut Berelasi, yaitu:

begin mathsize 14px style table attributes columnalign left center right end attributes row cell sin open parentheses 90 degree minus alpha close parentheses end cell equals cell cos space alpha end cell row cell cos open parentheses 90 degree minus alpha close parentheses end cell equals cell sin space alpha end cell row cell tan open parentheses 90 degree minus alpha close parentheses end cell equals cell cot space alpha end cell row cell cot open parentheses 90 degree plus alpha close parentheses end cell equals cell negative tan space alpha end cell row cell tan open parentheses 180 degree minus alpha close parentheses end cell equals cell negative tan space alpha end cell row cell cos open parentheses 180 degree plus alpha close parentheses end cell equals cell negative cos space alpha end cell row cell sin open parentheses 270 degree minus alpha close parentheses end cell equals cell negative cos space alpha end cell row cell sin open parentheses 360 degree plus alpha close parentheses end cell equals cell sin space alpha end cell row cell tan open parentheses 360 degree plus alpha close parentheses end cell equals cell tan space alpha end cell end table end style

Sehingga diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin open parentheses negative 120 degree close parentheses end cell equals cell sin open parentheses 90 degree minus 210 degree close parentheses end cell row blank equals cell cos space 210 degree end cell row cell cos space 210 degree end cell equals cell cos open parentheses 180 degree plus 30 degree close parentheses end cell row blank equals cell negative cos space 30 degree end cell row blank equals cell negative 1 half square root of 3 end cell row blank blank blank row cell cos open parentheses negative 510 degree close parentheses end cell equals cell cos open parentheses 90 degree minus 600 degree close parentheses end cell row blank equals cell sin space 600 degree end cell row cell sin space 600 degree end cell equals cell sin space open parentheses 360 degree plus 240 degree close parentheses end cell row blank equals cell sin space 240 degree end cell row cell sin space 240 degree end cell equals cell sin open parentheses 270 degree minus 30 degree close parentheses end cell row blank equals cell negative cos space 30 degree end cell row blank equals cell negative 1 half square root of 3 end cell row blank blank blank row cell tan open parentheses negative 45 degree close parentheses end cell equals cell tan open parentheses 90 degree minus 135 degree close parentheses end cell row blank equals cell cot space 135 degree end cell row cell cot space 135 degree end cell equals cell cot open parentheses 90 degree plus 45 degree close parentheses end cell row blank equals cell negative tan space 45 degree end cell row blank equals cell negative 1 end cell row blank blank blank row cell tan space 855 degree end cell equals cell tan open parentheses 360 degree plus 495 degree close parentheses end cell row blank equals cell tan space 495 degree end cell row cell tan space 495 degree end cell equals cell tan open parentheses 360 degree plus 135 degree close parentheses end cell row blank equals cell tan space 135 degree end cell row cell tan space 135 degree end cell equals cell tan open parentheses 180 degree minus 45 degree close parentheses end cell row blank equals cell negative tan space 45 degree end cell row blank equals cell negative 1 end cell end table end style

 Kemudian operasikan sudut-sudut trigonometrinya seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin open parentheses negative 120 degree close parentheses plus cos open parentheses negative 510 degree close parentheses over denominator tan open parentheses negative 45 degree close parentheses minus 2 open parentheses tan space 855 degree close parentheses end fraction end cell equals cell fraction numerator negative begin display style 1 half end style square root of 3 plus open parentheses negative 1 half square root of 3 close parentheses over denominator negative 1 minus open parentheses 2 open parentheses negative 1 close parentheses close parentheses end fraction end cell row blank equals cell fraction numerator negative begin display style 1 half end style square root of 3 minus 1 half square root of 3 over denominator negative 1 minus open parentheses negative 2 close parentheses end fraction end cell row blank equals cell fraction numerator negative begin display style 2 over 2 end style square root of 3 over denominator negative 1 plus 2 end fraction end cell row blank equals cell fraction numerator negative square root of 3 over denominator 1 end fraction end cell row blank equals cell negative square root of 3 end cell end table end style

Maka, nilai dari begin mathsize 14px style fraction numerator sin space open parentheses negative 120 degree close parentheses plus cos space open parentheses negative 510 degree close parentheses over denominator tan space open parentheses negative 45 degree close parentheses minus 2 space open parentheses tan space 855 degree close parentheses end fraction equals end stylebegin mathsize 14px style negative square root of 3 end style.

Roboguru

Perbandingan trigonometri yang senilai dengan  adalah

Pembahasan Soal:

Diketahui bahwa sudut begin mathsize 14px style open parentheses 270 to the power of degree minus straight alpha close parentheses end style berada di kuadrat III. Dimana untuk mencari perbandingan yang senilai dengan begin mathsize 14px style cos open parentheses 270 to the power of degree minus proportional to close parentheses end style dapat menggunakan permisalan seperti:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos open parentheses straight a minus straight b close parentheses end cell equals cell cos space straight a space cos space straight b space plus space sin space straight a space sin space straight b space end cell row cell cos left parenthesis 270 to the power of degree minus straight alpha right parenthesis end cell equals cell cos space 270 to the power of degree space cos space straight alpha space plus space sin space 270 to the power of degree space sin space straight alpha end cell row blank equals cell 0 space cos space straight alpha space plus left parenthesis negative 1 right parenthesis space sin space straight alpha end cell row blank equals cell negative sin space straight alpha end cell end table end style

Oleh karena itu jawabannya adalah E

Roboguru

Tentukan hasil dari

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos open parentheses 99 degree plus x close parentheses minus sin left parenthesis 81 degree minus x right parenthesis over denominator cos open parentheses 261 degree minus x close parentheses plus sin left parenthesis 279 degree plus x right parenthesis end fraction end cell equals cell fraction numerator cos open parentheses 90 degree plus 9 degree plus x close parentheses minus sin left parenthesis 90 degree minus 9 degree minus x right parenthesis over denominator cos open parentheses 270 degree minus 9 degree minus x close parentheses plus sin left parenthesis 270 degree plus 9 degree plus x right parenthesis end fraction end cell row blank equals cell fraction numerator cos open parentheses 90 degree plus left parenthesis 9 degree plus x right parenthesis close parentheses minus sin left parenthesis 90 degree minus left parenthesis 9 degree plus x right parenthesis right parenthesis over denominator cos open parentheses 270 degree minus left parenthesis 9 degree plus x right parenthesis close parentheses plus sin left parenthesis 270 degree plus left parenthesis 9 degree plus x right parenthesis right parenthesis end fraction end cell row blank equals cell fraction numerator negative sin open parentheses 9 degree plus x close parentheses minus cos left parenthesis 9 degree plus x right parenthesis over denominator negative sin open parentheses 9 degree plus x close parentheses minus cos left parenthesis 9 degree plus x right parenthesis end fraction end cell row blank equals 1 end table end style 

Roboguru

Jika sin5∘=p maka cos256∘ adalah...

Pembahasan Soal:

Ingat kembali:

cos(270a)=sina

Sehigga diperoleh perhitungan:

cos265===cos(2705)sin5p

Jadi, jawaban yang tepat adalah D

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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