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If (\sin x\cos x=\frac{1}{4}), what is the value of (\sin^4 x+\cos^4 x)?यदि (\sin x\cos x=\frac{1}{4}), तो (\sin^4 x+\cos^4 x) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{7}{8})(\frac{7}{8})
Use (\sin^4 x+\cos^4 x=1-2\sin^2 x\cos^2 x). Since (\sin^2 x\cos^2 x=\frac{1}{16}), the value is (\frac{7}{8}).पहचान (\sin^4 x+\cos^4 x=1-2\sin^2 x\cos^2 x) लगाएँ। (\sin^2 x\cos^2 x=\frac{1}{16}), इसलिए मान (\frac{7}{8}) है।
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