Exams › SSC CGL (Prelims) › General

Given that sinX - cosX = 1/2, determine the value of sin^2 X + cos^2 X - 2 sinX cosX.

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

Correct answer: 1/4

Solution

The expression sin^2 X + cos^2 X - 2 sinX cosX factors as (sinX - cosX)^2. Substituting sinX - cosX = 1/2 gives (1/2)^2 = 1/4.

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