Exams › SSC CGL (Prelims) › General

What is the value of \(\sin 75^\circ \cos 15^\circ + \cos 75^\circ \sin 15^\circ\)?

1. 1/2
2. \(\sqrt{3}/2\)
3. 0
4. 1

Correct answer: 1

Solution

Using \(\sin A\cos B + \cos A\sin B = \sin(A+B)\), the expression becomes \(\sin(75^\circ+15^\circ)=\sin 90^\circ\). Since \(\sin 90^\circ=1\), the answer is 1.

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