If $2\tan \alpha =3\tan \beta$, then $\tan (\alpha -\beta )=$

Important Questions on Values of Trigonometric Functions at Multiples and Submultiples of an Angle

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 23

If $\tan \alpha =\frac{1-\cos \beta }{\sin \beta }$, then

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 24

If $\sin \alpha +\sin \beta =a$ and $\cos \alpha -\cos \beta =b$, then $\tan \frac{\alpha -\beta }{2}=$

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 25

The value of ${\left(\cot \frac{x}{2}-\tan \frac{x}{2}\right)}^2(1-2\tan x\cot 2x)$ is

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 26

The value of $\tan x \sin \left(\frac{\pi }{2}+x\right)\cos \left(\frac{\pi }{2}-x\right)$ is

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 27

The value of ${\sin }^2\left(\frac{\pi }{18}\right)+{\sin }^2\left(\frac{\pi }{9}\right)+{\sin }^2\left(\frac{7\pi }{18}\right)+{\sin }^2\left(\frac{4\pi }{9}\right)$ is

HARD

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 28

If $5\sin \alpha =3\sin (\alpha +2\beta )\ne 0$, then $\tan (\alpha +\beta )$ is equal to

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 28

The value of $2\cos x-\cos 3x-\cos 5x-16{\cos }^{3}x{\sin }^{2}x$ is

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 9 - Values of Trigonometric Functions at Multiples and Submultiples of an Angle>EXERCISE 9.1>Q 29

If $A=2{\sin }^{2}x-\cos 2x$, then $A$ lies in the interval