If (\sin x+\cos x=\frac{7}{5}), what is the value of (\tan x+\cot x)?यदि (\sin x+\cos x=\frac{7}{5}), तो (\tan x+\cot x) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{25}{12})(\frac{25}{12})
Squaring gives (1+2\sin x\cos x=\frac{49}{25}), so (\sin x\cos x=\frac{12}{25}). Now (\tan x+\cot x=\frac{1}{\sin x\cos x}=\frac{25}{12}).वर्ग करने पर (1+2\sin x\cos x=\frac{49}{25}), इसलिए (\sin x\cos x=\frac{12}{25})। अब (\tan x+\cot x=\frac{1}{\sin x\cos x}=\frac{25}{12})।
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