Calculus and Trigonometry, part 2

Calculus Level pending

Let

\(a(x) = sin^{2}x\)

and

\(b(x) = cot^{2}x\),

find

\(\frac{a(\frac{\pi}{4}) - b(\frac{\pi}{2})}{a'(\frac{\pi}{4})b'(\frac{\pi}{6})}\)

accurate up to 3 decimal places.

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