English Medium इयत्ता १० - CBSE Question Bank Solutions for Mathematics

Evaluate the Following

`4/(cot^2 30^@) + 1/(sin^2 60^@) - cos^2 45^@`

Evaluate the Following

4(sin⁴ 30° + cos² 60°) − 3(cos² 45° − sin² 90°) − sin² 60°

Evaluate the Following:

`(tan^2 60^@ + 4 cos^2 45^@ + 3 sec^2 30^@ + 5 cos^2 90)/(cosec 30^@ + sec 60^@ - cot^2 30^@)`

Evaluate the Following

`sin 30^2/sin 45^@ + tan 45^@/sec 60^@ - sin 60^@/cot 45^@ - cos 30^@/sin 90^@`

Evaluate the Following:

`tan 45^@/(cosec 30^@) + sec 60^@/cot 45^@  - (5 sin 90^@)/(2 cos 0^@)`

Find the value of x in the following :

`2sin 3x = sqrt3`

Find the value of x in the following:

`2 sin  x/2 = 1`

Find the value of x in the following:

`sqrt3 sin x = cos x`

Find the value of x in the following:

`sqrt3 tan 2x = cos 60^@ + sin45^@ cos 45^@`

Find the value of x in each of the following :

cos x = cos 60º cos 30º + sin 60º sin 30º

Find the value of x in the following :

cos 2x = cos 60° cos 30° + sin 60° sin 30°

If sin (A − B) = sin A cos B − cos A sin B and cos (A − B) = cos A cos B + sin A sin B, find the values of sin 15° and cos 15°.

In ΔABC is a right triangle such that ∠C = 90°, ∠A = 45° and BC = 7 units. Find ∠B, AB and AC.

sin (45° + θ) – cos (45° – θ) is equal to ______.

If `sqrt2 sin (60° – α) = 1` then α is ______.

The value of sin² 30° – cos² 30° is ______.

If cos (40° + A) = sin 30°, then value of A is ______.

If cosec θ - cot θ = `1/3`, the value of (cosec θ + cot θ) is ______.

`(1 + tan^2 "A")/(1 + cot^2 "A")` is equal to ______.

If cos A + cos² A = 1, then sin² A + sin⁴ A is equal to ______.