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

Find the value of (int^{pi}_{0}frac{cos^{2}theta-1}{sin^{2}theta}dtheta)
  • A.
    π
  • B.
    π/2
  • C.
    -π/2
  • D.
    -π
Correct Answer: Option D
Explanation

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

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