Exams › SSC CGL (Prelims) › General

Given that 1 + cot^2 theta = cosec^2 theta, find the value of cosec^2 60 degrees - cot^2 60 degrees.

1. 1
2. 2
3. 3
4. 4

Correct answer: 1

Solution

The identity 1 + cot^2 theta = cosec^2 theta rearranges to cosec^2 theta - cot^2 theta = 1, which holds for every angle. Substituting 60 degrees still gives 1.

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