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What is the domain of (f(x)=\tan x)?फलन (f(x)=\tan x) का प्रांत कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}\setminus{\frac{\pi}{2}+n\pi:n\in\mathbb{Z}} )( \mathbb{R}\setminus{\frac{\pi}{2}+n\pi:n\in\mathbb{Z}} )
Since (\tan x=\frac{\sin x}{\cos x}), we need (\cos x\ne0). For (\tan x), odd multiples around (\frac{\pi}{2}) are excluded.(\tan x=\frac{\sin x}{\cos x}) है इसलिए (\cos x\ne0) होना चाहिए। (\tan x) में विषम (\frac{\pi}{2}) वाले कोण हटते हैं।
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