Write in terms of the cofunction of a complementary angle.
-$\cos \frac { \pi } { 24 }$
A) $\sin \frac { 23 \pi } { 24 }$
B) $\sin \frac { 11 \pi } { 24 }$
C) $\sec \frac { 11 \pi } { 24 }$
D) $\sec \frac { 23 \pi } { 24 }$

Question

Quizplus · Accepted Answer

The cofunction identity states that $\cos(\theta) = \sin(\frac{\pi}{2} - \theta)$. Applying this to $\cos(\frac{\pi}{24})$, we get $\sin(\frac{\pi}{2} - \frac{\pi}{24}) = \sin(\frac{12\pi}{24} - \frac{\pi}{24}) = \sin(\frac{11\pi}{24})$.

Write in Terms of the Cofunction of a Complementary Angle cos⁡π24\cos \frac { \pi } { 24 }cos24π​

Write in Terms of the Cofunction of a Complementary Angle $\cos \frac { \pi } { 24 }$