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Mathematics Trigonometric functions and their properties MCQ Questions for Class 11 General

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Trigonometric functions and their properties Practice Questions

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Question 51/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\sin\left\(\frac{\pi}{2}+\theta\right\)) किसके बराबर होता है?

What is (\sin\left\(\frac{\pi}{2}+\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

A. \(\cos \theta\)

Explanation

Simple Explanation

\(\frac{\pi}{2}\) के साथ \(\sin \theta\) सह-फलन \(\cos \theta\) में बदलता है। दूसरे चतुर्थांश में चिह्न धनात्मक रहता है। / With \(\frac{\pi}{2}\), \(\sin \theta\) changes to its cofunction \(\cos \theta\). The sign remains positive in the second quadrant.

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Question 52/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\cos\left\(\frac{\pi}{2}+\theta\right\)) किसके बराबर होता है?

What is (\cos\left\(\frac{\pi}{2}+\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

B. -\(\sin \theta\)

Explanation

Simple Explanation

(\cos\left\(\frac{\pi}{2}+\theta\right\)=-\sin \theta) होता है। \(\frac{\pi}{2}\) पर फलन बदलता है और चिह्न चतुर्थांश से तय होता है। / (\cos\left\(\frac{\pi}{2}+\theta\right\)=-\sin \theta). At \(\frac{\pi}{2}\), the function changes and the sign is decided by the quadrant.

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Question 53/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\tan\left\(\frac{\pi}{2}+\theta\right\)) किसके बराबर होता है?

What is (\tan\left\(\frac{\pi}{2}+\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

C. -\(\cot \theta\)

Explanation

Simple Explanation

\(\tan \theta\) का सह-फलन \(\cot \theta\) है और दूसरे चतुर्थांश में चिह्न ऋणात्मक होता है। इसलिए उत्तर \(-\cot \theta\) है। / The cofunction of \(\tan \theta\) is \(\cot \theta\), and the sign is negative in the second quadrant. Therefore the answer is \(-\cot \theta\).

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Question 54/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\cot\left\(\frac{\pi}{2}+\theta\right\)) किसके बराबर होता है?

What is (\cot\left\(\frac{\pi}{2}+\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

D. -\(\tan \theta\)

Explanation

Simple Explanation

\(\cot \theta\) का सह-फलन \(\tan \theta\) है और दूसरे चतुर्थांश में चिह्न ऋणात्मक होता है। ऐसे प्रश्नों में पहले सह-फलन पहचानें। / The cofunction of \(\cot \theta\) is \(\tan \theta\), and the sign is negative in the second quadrant. In such questions, first identify the cofunction.

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Question 55/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\sec\left\(\frac{\pi}{2}+\theta\right\)) किसके बराबर होता है?

What is (\sec\left\(\frac{\pi}{2}+\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

A. -\(\cosec \theta\)

Explanation

Simple Explanation

\(\sec \theta\) का सह-फलन \(\cosec \theta\) है और दूसरे चतुर्थांश में \(\sec \theta\) ऋणात्मक होता है। इसलिए मान \(-\cosec \theta\) है। / The cofunction of \(\sec \theta\) is \(\cosec \theta\), and \(\sec \theta\) is negative in the second quadrant. Hence the value is \(-\cosec \theta\).

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Question 56/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\cosec\left\(\frac{\pi}{2}+\theta\right\)) किसके बराबर होता है?

What is (\cosec\left\(\frac{\pi}{2}+\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

B. \(\sec \theta\)

Explanation

Simple Explanation

\(\cosec \theta\) का सह-फलन \(\sec \theta\) है और दूसरे चतुर्थांश में चिह्न धनात्मक रहता है। सह-फलन जोड़ों को याद रखें। / The cofunction of \(\cosec \theta\) is \(\sec \theta\), and the sign remains positive in the second quadrant. Remember cofunction pairs.

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Question 57/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\sin\left\(\frac{3\pi}{2}-\theta\right\)) किसके बराबर होता है?

What is (\sin\left\(\frac{3\pi}{2}-\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

C. -\(\cos \theta\)

Explanation

Simple Explanation

\(\frac{3\pi}{2}\) के साथ \(\sin \theta\) सह-फलन में बदलता है और तीसरे चतुर्थांश में चिह्न ऋणात्मक होता है। इसलिए उत्तर \(-\cos \theta\) है। / With \(\frac{3\pi}{2}\), \(\sin \theta\) changes to a cofunction and the sign is negative in the third quadrant. So the answer is \(-\cos \theta\).

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Question 58/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\cos\left\(\frac{3\pi}{2}-\theta\right\)) किसके बराबर होता है?

What is (\cos\left\(\frac{3\pi}{2}-\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

A. -\(\sin \theta\)

Explanation

Simple Explanation

\(\frac{3\pi}{2}\) के साथ \(\cos \theta\) सह-फलन \(\sin \theta\) में बदलता है। तीसरे चतुर्थांश में \(\cos \theta\) ऋणात्मक होता है। / With \(\frac{3\pi}{2}\), \(\cos \theta\) changes to the cofunction \(\sin \theta\). In the third quadrant, \(\cos \theta\) is negative.

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Question 59/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\tan\left\(\frac{3\pi}{2}-\theta\right\)) किसके बराबर होता है?

What is (\tan\left\(\frac{3\pi}{2}-\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

B. \(\cot \theta\)

Explanation

Simple Explanation

\(\frac{3\pi}{2}\) के साथ \(\tan \theta\) \(\cot \theta\) में बदलता है। तीसरे चतुर्थांश में \(\tan \theta\) धनात्मक होता है। / With \(\frac{3\pi}{2}\), \(\tan \theta\) changes to \(\cot \theta\). In the third quadrant, \(\tan \theta\) is positive.

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Question 60/346 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

(\sin\left\(\frac{3\pi}{2}+\theta\right\)) किसके बराबर होता है?

What is (\sin\left\(\frac{3\pi}{2}+\theta\right\)) equal to?

Explanation opens after your attempt
Correct Answer

C. -\(\cos \theta\)

Explanation

Simple Explanation

(\sin\left\(\frac{3\pi}{2}+\theta\right\)=-\cos \theta) होता है। \(\frac{3\pi}{2}\) वाले रूप में \(\sin \theta\) सह-फलन में बदलता है। / (\sin\left\(\frac{3\pi}{2}+\theta\right\)=-\cos \theta). In a \(\frac{3\pi}{2}\) form, \(\sin \theta\) changes to its cofunction.

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