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For (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), what is the correct conclusion?फलन (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x) के लिए सही निष्कर्ष क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is ontoयह आच्छादी है
Step 1: On ((-\frac{\pi}{2},\frac{\pi}{2})), the range of (\tan x) is all (\mathbb{R}). Step 2: For every real (y), (x=\tan^{-1}y) lies in this interval. Step 3: In (\tan x) questions, the domain is very important.चरण 1: ((-\frac{\pi}{2},\frac{\pi}{2})) पर (\tan x) का परास पूरा (\mathbb{R}) है। चरण 2: हर वास्तविक (y) के लिए (x=\tan^{-1}y) इसी अंतराल में आता है। चरण 3: (\tan x) वाले प्रश्नों में प्रांत बहुत महत्त्वपूर्ण होता है।
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