If $\sec x+\tan x=\frac{22}{7}$ then,

Important Questions on Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 20

If $y=\frac{\sqrt{1-\sin 4x}+1}{\sqrt{1+\sin 4x}-1},$ then $y$ can be:

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 21

 If $\left(a-b\right) \sin \left(\theta +\varphi \right)=\left(a+b\right) \sin \left(\theta -\varphi \right)$ and $a\tan \frac{\theta }{2}-b\tan \frac{\varphi }{2}=c$, then:  

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 22

If $\frac{\cos x-\cos \alpha }{\cos x-\cos \beta }=\frac{{\sin }^2\alpha \cos \beta }{{\sin }^2\beta \cos \alpha }$ then:

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 23

If $0\le \theta \le \pi$ and $\sin \frac{\theta }{2}=\sqrt{1+\sin \theta }-\sqrt{1-\sin \theta }$, then possible values of $\tan \theta$ is/are:

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 24

For the expression $(\alpha \tan \gamma +\beta \cot \gamma )(\alpha \cot \gamma +\beta \tan \gamma )-4\alpha \beta {\cot }^{2}2\gamma$ which of the following is/are true?

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 1

The value of $4\cos 18°-\frac{3}{\cos 18°}-2\tan 18°$ is equal to:

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 2

The value of $\frac{\cot 84°\cot 48°}{\cot 66°\cot 78°}$ is:

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 3 - Trigonometric Ratios for Compound, Multiple, Sub-multiple Angles, and Transformation Formulas>DPP>Q 3

If $\tan \frac{\pi }{24}=(\sqrt{p}-\sqrt{q})(\sqrt{r}-s)$ then the value of  $(p+q+r+s)$, where $p, q, r \& s$ are least positive integers, is: