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If \(\tan x=2\), what is the value of \(\frac{\sin x}{\cos x}\)?यदि \(\tan x=2\), तो \(\frac{\sin x}{\cos x}\) का मान क्या है?
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Correct answer:सही उत्तर: 22
By definition, \(\tan x=\frac{\sin x}{\cos x}\). Since \(\tan x=2\) is given, \(\frac{\sin x}{\cos x}=2\). The value \(\frac{1}{2}\) is the reciprocal and represents \(\cot x\), not \(\tan x\). Exam tip: Remember \(\tan x\) as \(\sin x/\cos x\).परिभाषा के अनुसार \(\tan x=\frac{\sin x}{\cos x}\)। प्रश्न में \(\tan x=2\) दिया है, इसलिए \(\frac{\sin x}{\cos x}=2\)। \(\frac{1}{2}\) इसका व्युत्क्रम है, जो \(\cot x\) के बराबर होता है, न कि \(\tan x\) के। परीक्षा टिप: \(\tan x\) को हमेशा \(\sin x/\cos x\) से जोड़कर याद रखें।
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