The value of $\tan 203°+\tan 22°+\tan 203°\tan 22°$ is

Important Questions on Trigonometric Ratios, Functions and Identities

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 85

The value of $\frac{1-{\tan }^{2}15°}{1+{\tan }^{2}15°}$ is

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 86

If $A$ lies in the third quadrant and $3\tan A-4=0,$ then $5\sin 2A+3\sin A+4\cos A$ is equal to

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 87

If $\cos A=\frac{3}{4},$ then the value of $16{\cos }^2( \frac{A}{2})-32\sin \left(\frac{A}{2}\right)\sin \left(\frac{5A}{2}\right)$ is

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 88

If ${\tan }^2\theta =2{\tan }^2\varphi +1,$ then the value of $\cos 2\theta +{\sin }^2\varphi$ is

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 89

If $\alpha \in \left[\frac{\mathrm{\pi }}{2},\mathrm{\pi }\right]$, then the value of $\sqrt{1+\sin \alpha }- \sqrt{1-\sin \alpha }$ is equal to

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 90

The value of $\frac{1}{\cos 290°}+\frac{1}{\sqrt{3}\sin 250°}$ is

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 91

The value of $\tan 3A-\tan 2A-\tan A$ is equal to

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 92

 $\frac{\cos 20°+8\sin 70°\sin 50°\sin 10°}{{\sin }^{2}80°}$ is equal to