Question

QuestionWrite the following function in terms of its cofunction.csc (pi/4)

Answer 1

Two functions are called cofunctions if they are equal on complementary angles

$\csc \theta=\sec (\frac{\pi}{2}-\theta)$

Since

$\theta=\frac{\pi}{4}$

Substitute it in the rule above

$\csc (\frac{\pi}{4})=sec(\frac{\pi}{2}-\frac{\pi}{4})$$\csc (\frac{\pi}{4})=\sec (\frac{\pi}{4})$

The cofunction is sec(pi/4)