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

Mathematics
JAMB 2000

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 Answer: Option D
Explanation

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

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

There is an explanation video available below.


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Explanation Video

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