Exams › SSC CGL (Prelims) › General

Given that sin^2(theta) - cos^2(theta) = -1/3, determine the value of cos^2(theta).

1. 1/3
2. 1/2
3. 2/3
4. 5/6

Correct answer: 2/3

Solution

Using sin^2 + cos^2 = 1 and sin^2 - cos^2 = -1/3, subtract the second from the first: 2cos^2 = 1 + 1/3 = 4/3, so cos^2 = 2/3.

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