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If (\sin x+\cos x=\sqrt{3}), what is the value of (\tan x+\cot x)?यदि (\sin x+\cos x=\sqrt{3}), तो (\tan x+\cot x) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (4)(4)
Squaring gives (1+2\sin x\cos x=3), so (\sin x\cos x=1). Then (\tan x+\cot x=\frac{1}{\sin x\cos x}), so the value is (1), but none of the options is correct.वर्ग करने पर (1+2\sin x\cos x=3), इसलिए (\sin x\cos x=1) मिलता है। फिर (\tan x+\cot x=\frac{1}{\sin x\cos x}), इसलिए मान (1) नहीं बल्कि विकल्पों में कोई सही नहीं होता।
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