5. Verify the cofunction identities (a) cot (pi/2 - x) = tan(x) (b) sec (pi/2 - x) = csc(x) (c) csc (pi/2 - x) = sec(x)
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So, we can write the left side as \( \frac{1}{\tan \left(\frac{\pi}{2}-x\right)} \). We know that \( \tan \left(\frac{\pi}{2}-x\right) = \cot (x) \), so we can substitute this into our equation to get \( \frac{1}{\cot (x)} \). Show more…
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