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Find the value of int pi 0 frac cos 2 theta-1 s... - JAMB Mathematics 2000 Question

Find the value of (\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta)

A
π
B
π/2
C
-π/2
D
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Correct Option: D

(\int^{\pi}{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta = \int^{\pi}{0}\frac{-sin^{2}\theta}{sin^{2}\theta}\ = \int^{\pi}_{0}d\theta = -\pi)

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