Exams › SSC CGL (Prelims) › General

If sin(theta) - cos(theta) = 0 for an acute angle theta, find the value of sin^4(theta) + cos^4(theta).

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

Correct answer: 1/2

Solution

Since sin(theta) = cos(theta), theta = 45 degrees and both equal 1/sqrt(2). Then sin^4 + cos^4 = (1/4) + (1/4) = 1/2.

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