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Hitunglah nilai dari: a.    b.   c.   d.    e.

Pertanyaan

Hitunglah nilai dari:

a. begin mathsize 14px style sin space 120 degree end style  
b. begin mathsize 14px style cos space 150 degree end style 
c. begin mathsize 14px style tan space 135 degree end style 
d. begin mathsize 14px style cosec space 150 degree end style  
e. begin mathsize 14px style cot space 120 degree end style 

Pembahasan Soal:

Dengan menggunakan rumus trigonometri sudut berelasi pada kuadran II, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin left parenthesis 180 minus a right parenthesis degree end cell equals cell sin space a degree end cell row cell cos left parenthesis 180 minus a right parenthesis degree end cell equals cell negative cos space a degree end cell row cell tan left parenthesis 180 minus a right parenthesis degree end cell equals cell negative tan space a degree end cell row cell cos ec left parenthesis 180 minus a right parenthesis degree end cell equals cell cos ec space a degree end cell row cell cot left parenthesis 180 minus a right parenthesis degree end cell equals cell negative cotan space a degree end cell row blank blank blank row cell straight a. space sin space 120 degree end cell equals cell sin left parenthesis 180 minus 60 right parenthesis degree end cell row blank equals cell sin space 60 degree end cell row blank equals cell 1 half square root of 3 end cell row blank blank blank row cell straight b. space cos space 150 degree end cell equals cell cos left parenthesis 180 minus 30 right parenthesis degree 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 straight c. space tan space 135 degree end cell equals cell tan left parenthesis 180 minus 45 right parenthesis degree 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 straight d. space space cosec space 150 degree end cell equals cell cosec left parenthesis 180 minus 150 right parenthesis degree end cell row blank equals cell cosec space 30 degree end cell row blank equals 2 row blank blank blank row cell straight e. space space cot space 120 degree end cell equals cell cot left parenthesis 180 minus 60 right parenthesis degree end cell row blank equals cell negative cot space 60 degree end cell row blank equals cell fraction numerator square root of 3 over denominator 3 end fraction end cell end table end style

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. 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 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 120 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree 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 cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight b end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. 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 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 150 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree 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 minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight c end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. 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 tan 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 135 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree 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 minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight d end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. 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 space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cosec 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 150 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree 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 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight e end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. 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 space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cot 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 120 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree 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 cell fraction numerator square root of 3 over denominator 3 end fraction end cell end table end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

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