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

  1. #1
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    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 ?
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  2. #2
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    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*}$
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