Write in terms of the cofunction of a complementary angle.
-$\cos \left( \frac { \pi } { 12 } \right)$
A) $\frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }$
B) $\frac { \sqrt { 6 } + \sqrt { 2 } } { 4 }$
C) $\frac { \sqrt { 2 } - \sqrt { 6 } } { 4 }$
D) $\frac { - \sqrt { 6 } - \sqrt { 2 } } { 4 }$

Question

Quizplus · Accepted Answer

The cofunction identity states that $\cos(\theta) = \sin(\frac{\pi}{2} - \theta)$. Therefore, $\cos\left(\frac{\pi}{12}\right) = \sin\left(\frac{\pi}{2} - \frac{\pi}{12}\right) = \sin\left(\frac{\pi}{3}\right)$, which simplifies to $\frac{\sqrt{6} + \sqrt{2}}{4}$.

Write in Terms of the Cofunction of a Complementary Angle cos⁡(π12)\cos \left( \frac { \pi } { 12 } \right)cos(12π​)

Write in Terms of the Cofunction of a Complementary Angle $\cos \left( \frac { \pi } { 12 } \right)$