Exams › SSC CGL (Prelims) › Maths

If (48^ + k) is an acute angle and sin(48^ + k) = cos 13^, what is the value of k (in degrees)?

1. 17
2. 23
3. 29
4. 37

Correct answer: 29

Solution

Since sin(48^ + k) = cos 13^, we use cos 13^ = sin 77^. So 48^ + k = 77^ because the angle is acute, giving k = 29^.

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