Exams › SSC CGL (Prelims) › General

If \(\sin A=\frac{3}{5}\), find the value of \(\sin^4 A+\cos^4 A\).

1. 337/625
2. 312/625
3. 144/625
4. 256/625

Correct answer: 337/625

Solution

Given \(\sin A=3/5\), we get \(\cos A=4/5\). Then \(\sin^4 A+\cos^4 A=\left(\frac{3}{5}\right)^4+\left(\frac{4}{5}\right)^4=\frac{81+256}{625}=\frac{337}{625}\).

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