English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

Evaluate the following

tan² 30° + tan² 60° + tan² 45°

Evaluate the following

`2 sin^2 30^2 - 3 cos^2 45^2 + tan^2 60^@`

Evaluate the following

`sin^2 30° cos^2 45 ° + 4 tan^2 30° + 1/2 sin^2 90° − 2 cos^2 90° + 1/24 cos^2 0°`

Evaluate the Following

4(sin⁴ 60° + cos⁴ 30°) − 3(tan² 60° − tan² 45°) + 5 cos² 45°

Evaluate the following:

(cosec² 45° sec² 30°)(sin² 30° + 4 cot² 45° − sec² 60°)

Evaluate the Following

cosec³ 30° cos 60° tan3 45° sin² 90° sec² 45° cot 30°

Evaluate the Following

`cot^2 30^@ - 2 cos^2 60^circ- 3/4 sec^2 45^@ - 4 sec^2 30^@`

Evaluate the Following

(cos 0° + sin 45° + sin 30°)(sin 90° − cos 45° + cos 60°)

Evaluate the Following

`(sin 30^@ - sin 90^2 + 2 cos 0^@)/(tan 30^@ tan 60^@)`

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°