Exams › SSC CGL (Prelims) › General

If sin A + cos A = (root 3)/2, evaluate sin^2 A + cos^2 A + 2 sin A cos A.

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

Correct answer: 3/4

Solution

The expression equals (sin A + cos A)^2. Squaring the given value gives ((root 3)/2)^2 = 3/4.

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