Prove that, $\frac{\left(1+{\cot }^2\theta \right)\tan \theta }{{\sec }^2\theta }=\cot \theta$.

Important Questions on Trigonometric Identities

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 16

Prove that, ${\tan }^2\theta -{\sin }^2\theta ={\tan }^2\theta {\sin }^2\theta$.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 17

Prove that, $\left(\sec \theta +\cos \theta \right)\left(\sec \theta -\cos \theta \right)={\tan }^2\theta +{\sin }^2\theta$.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 18

Prove that, $\left(\mathrm{c}\mathrm{o}\mathrm{s}\mathrm{e}\mathrm{c}\mathrm{\theta }+\sin \theta \right)\left(\mathrm{c}\mathrm{o}\mathrm{s}\mathrm{e}\mathrm{c}\theta -\sin \theta \right)={\cot }^2\theta +{\cos }^2\theta$.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 19

Prove that, $\sec A\left(1-\sin A\right)\left(\sec A+\tan A\right)=1$.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 20

Prove that, $\left(\mathrm{c}\mathrm{o}\mathrm{s}\mathrm{e}\mathrm{c} A-\sin A\right)\left(\sec A-\cos A\right)\left(\tan A+\cot A\right)=1$

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 21

Prove that: $\left(1+{\tan }^2\theta \right)\left(1-\sin \theta \right)\left(1+\sin \theta \right)=1$.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 22

Prove that, ${\sin }^{2}A{\cot }^{2}A+{\cos }^{2}A{\tan }^{2}A=1$.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 11 - Trigonometric Identities>EXERCISE 11.1>Q 23

Prove that : $\cot \theta -\tan \theta =\frac{2{\cos }^2\theta -1}{\sin \theta \cos \theta }$.