Exams › SSC CGL (Prelims) › General

If cos(theta) = y, express sin^2(theta) in terms of y.

1. 1 - y^2
2. y^2 - 1
3. 1 + y^2
4. sqrt(1 - y^2)

Correct answer: 1 - y^2

Solution

From the identity sin^2(theta) + cos^2(theta) = 1, we get sin^2(theta) = 1 - cos^2(theta). With cos(theta) = y, this becomes 1 - y^2.

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