Write in terms of the cofunction of a complementary angle.
-$\sin \frac { \pi } { 17 }$
A) $\csc \frac { 15 \pi } { 34 }$
B) $\csc \frac { 16 \pi } { 17 }$
C) $\cos \frac { 16 \pi } { 17 }$
D) $\cos \frac { 15 \pi } { 34 }$

Question

Quizplus · Accepted Answer

The cofunction identity states that $\sin(\theta) = \cos(\frac{\pi}{2} - \theta)$. For $\theta = \frac{\pi}{17}$, the complementary angle is $\frac{\pi}{2} - \frac{\pi}{17} = \frac{15\pi}{34}$. Thus, $\sin \frac{\pi}{17} = \cos \frac{15\pi}{34}$.

Write in Terms of the Cofunction of a Complementary Angle sin⁡π17\sin \frac { \pi } { 17 }sin17π​

Write in Terms of the Cofunction of a Complementary Angle $\sin \frac { \pi } { 17 }$