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Tentukan semua perbandingan trigonometri pada titik-titik berikut. c. R(-2 3 ​ ,-2 )

Tentukan semua perbandingan trigonometri pada titik-titik berikut.

c.  

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D. Enty

Master Teacher

Jawaban terverifikasi

Jawaban

nilai cotan R= .

nilai cotan R = square root of 3.

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Pembahasan

Pembahasan

Menentukan panjang Menentukan sin R Jadi, nilai sin R= . Menentukan cos R Jadi, nilai cos R= . Menentukan tan R Jadi, nilai tan R= . Menentukan sec R Jadi, nilai sec R= . Menentukan cosec R Jadi, nilai cosec R= . Menentukan cotan R Jadi, nilai cotan R= .

Menentukan panjang r

table attributes columnalign right center left columnspacing 0px end attributes row r equals cell square root of x squared plus y squared end root end cell row blank equals cell square root of left parenthesis negative 2 square root of 3 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root end cell row blank equals cell square root of 12 plus 4 end root end cell row blank equals cell square root of 16 end cell row blank equals 4 end table 

Menentukan sin R

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space text R end text end cell equals cell y over r end cell row blank equals cell fraction numerator negative 2 over denominator 4 end fraction end cell row blank equals cell negative 1 half end cell end table 

Jadi, nilai sin R = negative 1 half.

Menentukan cos R

table attributes columnalign right center left columnspacing 0px end attributes row cell cos space text R end text end cell equals cell x over r end cell row blank equals cell fraction numerator negative 2 square root of 3 over denominator 4 end fraction end cell row blank equals cell negative 1 half square root of 3 end cell end table 

Jadi, nilai cos R = negative 1 half square root of 3.

Menentukan tan R

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space text R end text end cell equals cell y over x end cell row blank equals cell fraction numerator negative 2 over denominator negative 2 square root of 3 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 1 third square root of 3 end cell end table 

Jadi, nilai tan R = 1 third square root of 3.

Menentukan sec R

table attributes columnalign right center left columnspacing 0px end attributes row cell sec space text R end text end cell equals cell fraction numerator 1 over denominator cos space R end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style negative fraction numerator square root of 3 over denominator 2 end fraction end style end fraction end cell row blank equals cell negative fraction numerator 2 over denominator square root of 3 end fraction end cell row blank equals cell negative fraction numerator 2 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell negative 2 over 3 square root of 3 end cell end table 

Jadi, nilai sec R = negative 2 over 3 square root of 3.

Menentukan cosec R

table attributes columnalign right center left columnspacing 0px end attributes row cell cosec space text R end text end cell equals cell fraction numerator 1 over denominator sin space text R end text end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 half end fraction end cell row blank equals cell negative 2 over 1 end cell row blank equals cell negative 2 end cell end table 

Jadi, nilai cosec R = negative 2.

Menentukan cotan R

table attributes columnalign right center left columnspacing 0px end attributes row cell cotan space text R end text end cell equals cell fraction numerator 1 over denominator tan space text R end text end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 3 end fraction times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 3 over 3 square root of 3 end cell row blank equals cell square root of 3 end cell end table 

Jadi, nilai cotan R = square root of 3.

Latihan Bab

Konsep Kilat

Derajat dan Radian

Perbandingan Sisi (Trigonometri)

Sudut Istimewa (Trigonometri)

18

Eka Yanti

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