The value of $\frac{\sin 22°\cos 8°+\cos 158°\cos 98°}{\sin 23°\cos 7°+\cos 157°\cos 97°}=$

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

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 8

If $x=\cos \alpha +\cos \beta -\cos \left(\alpha +\beta \right)$ and $\mathit{y}=4\sin \frac{\alpha }{2}\sin \frac{\beta }{2}\cos \left(\frac{\alpha +\beta }{2}\right)$, then $(x-y)$ equals

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 9

The value of $\frac{\cos 5°\cos 20°+\cos 35°\cos 50°-\sin 5°\sin 20°-\sin 35°\sin 50°}{\sin 5°\cos 20°-\sin 35°\cos 50°+\cos 5°\sin 20°-\cos 35°\sin 50°}=$

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 10

The value of $\sec 11°\sec 19°-2\cot 71°$ is

EASY

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 11

If $\alpha , \beta , \gamma$ are real numbers satisfying $\alpha +\beta +\gamma =\pi ,$ the minimum value of the given expression $\sin \alpha +\sin \beta +\sin \gamma$ is

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 12

If $\sin \alpha =1/\sqrt{5}$ and $\sin \beta =3/5,$ then $\beta -\alpha$ does not lie in the interval

EASY

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 13

If in a triangle $ABC$, $\tan A+\tan B+\tan C$  has the value $6$, then the value of $\cot A\cot B\cot C$ is

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 14

If $\cos \alpha +\cos \beta =0=\sin \alpha +\sin \beta$, then $\cos 2\alpha +\cos 2\beta =$

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 15

If $\alpha$ and $\beta$ are acute such that $\alpha +\beta$ and $\alpha -\beta$ satisfy the equation ${\tan }^2\theta -4\tan \theta +1=0$, then $\left(\alpha , \beta \right)=$