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Tentukan nilai bentuk trigonometri berikut. b. sin ( − 48 0 ∘ ) cos ( − 4 5 ∘ ) sec ( − 31 5 ∘ ) − cos ec 58 5 ∘

Tentukan nilai bentuk trigonometri berikut.

b. $\frac{sec ( - 31 5 ^{\circ} ) - cos ec 58 5 ^{\circ}}{sin ( - 48 0 ^{\circ} ) cos ( - 4 5 ^{\circ} )}$

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Dari soal tersebut, dapat diperoleh hasil sebagai berikut:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator s e c left parenthesis negative 315 degree right parenthesis minus cos e c space 585 degree over denominator sin left parenthesis negative 480 degree right parenthesis cos left parenthesis negative 45 degree right parenthesis end fraction end cell equals blank row cell fraction numerator begin display style fraction numerator 1 over denominator cos space 45 degree end fraction end style minus begin display style fraction numerator 1 over denominator negative sin space 45 degree end fraction end style over denominator negative sin space 60 degree space space cos space 45 degree end fraction end cell equals blank row cell fraction numerator square root of 2 plus square root of 2 over denominator negative begin display style 1 half end style square root of 3 cross times begin display style 1 half end style square root of 2 end fraction end cell equals blank row cell fraction numerator 2 square root of 2 over denominator negative begin display style 1 fourth end style square root of 2 square root of 3 end fraction end cell equals blank row cell negative 8 over 3 square root of 3 end cell equals blank end table end style$