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If (\sin x+\cos x=\sqrt{2}), what is the value of (\sin x\cos x)?यदि (\sin x+\cos x=\sqrt{2}), तो (\sin x\cos x) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{1}{2})(\frac{1}{2})
Squaring both sides gives (1+2\sin x\cos x=2). Hence (\sin x\cos x=\frac{1}{2}); squaring is useful in such questions.दोनों पक्षों का वर्ग करने पर (1+2\sin x\cos x=2) मिलता है। इसलिए (\sin x\cos x=\frac{1}{2}); ऐसे प्रश्नों में वर्ग करना उपयोगी है।
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