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Find the range of

 

\(f(A)=\frac{\sin A(3\cos^{2}A+\cos^{4}A+3\sin^{2}A+\sin^{2}A\cos^{2}A)}{\tan A (\sec A-\sin A\tan A)}\)

 

if \(A\neq \dfrac{n\pi}{2}\) for any integer n. Express your answer in interval notation.

 Aug 4, 2022
 #1
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(3, 4)

 Aug 4, 2022

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