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 ((\pi)/(2)-\theta)`

Since

`\theta=(\pi)/(4)`

Substitute it in the rule above

`\csc ((\pi)/(4))=sec((\pi)/(2)-(\pi)/(4))`
`\csc ((\pi)/(4))=\sec ((\pi)/(4))`

The cofunction is sec(pi/4)