Exams › SSC CGL (Prelims) › General

If \(\sin A = \frac{8}{17}\) and \(A\) is acute, then what is the value of \(\cos A\)?

1. 15/17
2. 17/15
3. 8/15
4. 15/8

Correct answer: 15/17

Solution

Using \(\sin^2 A + \cos^2 A = 1\), we get \(\cos^2 A = 1 - (8/17)^2 = 1 - 64/289 = 225/289\). Since \(A\) is acute, \(\cos A = 15/17\).

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