Multiple choice

For acute angle $\theta$, find $\text{cosec }^{2}\theta - \cot^{2}\theta$

  1. $2$
  2. $3$
  3. $0$
  4. $1$
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D Correct answer
Explanation

This is a fundamental trigonometric identity: cosec^2(theta) - cot^2(theta) = 1.

AI explanation

This question uses the fundamental trigonometric identity that states cosecant squared theta minus cotangent squared theta equals 1. By substituting 1 for cosecant squared theta, the expression directly evaluates to 1.

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