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How many solutions does (\sin x=\cos x) have in the interval (0\leq x<2\pi)?अंतराल (0\leq x<2\pi) में समीकरण (\sin x=\cos x) के कितने हल हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2)(2)
From (\sin x=\cos x), we get (\tan x=1), so (x=\frac{\pi}{4},\frac{5\pi}{4}). In exams, check the given interval carefully.(\sin x=\cos x) से (\tan x=1) मिलता है, इसलिए (x=\frac{\pi}{4},\frac{5\pi}{4}) हैं। परीक्षा में दिए गए अंतराल को ध्यान से देखें।
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