Thread: Rewrite csc(θ-45°) an equivalent value using its cofunction.

1. Rewrite csc(θ-45°) an equivalent value using its cofunction.

Given that θ is an acute​ angle, rewrite csc(θ-45°) as an equivalent value using its cofunction.

How to do this ?

2. Re: Rewrite csc(θ-45°) an equivalent value using its cofunction.

\begin{align*} &\csc\left(\theta - \frac \pi 4\right) = \\ &\dfrac{1}{\sin\left(\theta - \frac \pi 4\right)}= \\ &-\dfrac{1}{\cos\left(\theta + \frac \pi 4\right)} = \\ \\ &-\sec\left( \theta + \frac \pi 4\right) \end{align*}