Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 101-110 of 346 questions.
What is the value of the identity \(\sin^2 x+\cos^2 x\)?
B. (1)
मूल पहचान \(\sin^2 x+\cos^2 x=1\) होती है। इसे याद रखना कई प्रश्नों में काम आता है। / The basic identity is \(\sin^2 x+\cos^2 x=1\). Remembering it helps in many questions.
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What is the period of the function \(\tan x\)?
A. \(\pi\)
\(\tan x\) हर \(\pi\) के बाद अपना मान दोहराता है। \(\tan x\) और \(\cot x\) का काल \(\pi\) होता है। / \(\tan x\) repeats its value after every \(\pi\). The period of \(\tan x\) and \(\cot x\) is \(\pi\).
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The function \(\sec x\) is the reciprocal of which function?
C. \(\cos x\)
\(\sec x=\frac{1}{\cos x}\) होता है। व्युत्क्रम संबंधों को जोड़ी बनाकर याद करें। / \(\sec x=\frac{1}{\cos x}\). Learn reciprocal relations in pairs.
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The function \(\cosec x\) is the reciprocal of which function?
B. \(\sin x\)
\(\cosec x=\frac{1}{\sin x}\) होता है। ध्यान रखें कि \(\cosec x\) का संबंध \(\sin x\) से है। / \(\cosec x=\frac{1}{\sin x}\). Remember that \(\cosec x\) is related to \(\sin x\).
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How is \(\tan x\) written in terms of \(\sin x\) and \(\cos x\)?
C. \(\frac{\sin x}{\cos x}\)
\(\tan x=\frac{\sin x}{\cos x}\) मूल अनुपात पहचान है। ऐसे प्रश्नों में अंश और हर को ध्यान से देखें। / \(\tan x=\frac{\sin x}{\cos x}\) is a basic quotient identity. In such questions, check numerator and denominator carefully.
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How is \(\cot x\) written in terms of \(\sin x\) and \(\cos x\)?
B. \(\frac{\cos x}{\sin x}\)
\(\cot x=\frac{\cos x}{\sin x}\) होता है। \(\tan x\) और \(\cot x\) एक-दूसरे के व्युत्क्रम हैं। / \(\cot x=\frac{\cos x}{\sin x}\). \(\tan x\) and \(\cot x\) are reciprocals of each other.
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What is the range of the function \(\sin x\)?
A. ([-1,1])
\(\sin x\) का मान (-1) से (1) तक होता है। ग्राफ याद रखने से परिसर जल्दी मिलता है। / The value of \(\sin x\) lies from (-1) to (1). Remembering the graph helps find the range quickly.
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What is the range of the function \(\tan x\)?
C. (\(-\infty,\infty\))
\(\tan x\) सभी वास्तविक मान ले सकता है। इसलिए इसका परिसर (\(-\infty,\infty\)) है। / \(\tan x\) can take all real values. Therefore, its range is (\(-\infty,\infty\)).
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What is the value of \(\sec^2 x-\tan^2 x\)?
D. (1)
क्योंकि \(\sec^2 x=1+\tan^2 x\), इसलिए \(\sec^2 x-\tan^2 x=1\)। पहचान को सही दिशा में प्रयोग करें। / Since \(\sec^2 x=1+\tan^2 x\), \(\sec^2 x-\tan^2 x=1\). Use the identity in the correct direction.
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What is the value of \(\cosec^2 x-\cot^2 x\)?
B. (1)
क्योंकि \(\cosec^2 x=1+\cot^2 x\), अंतर (1) होगा। यह पहचान \(\sin^2 x+\cos^2 x=1\) से जुड़ी है। / Since \(\cosec^2 x=1+\cot^2 x\), the difference is (1). This identity is linked to \(\sin^2 x+\cos^2 x=1\).
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