English Medium Class 10 - CBSE Question Bank Solutions

If `sin theta = a/b` find sec θ + tan θ in terms of a and b.

if `sin theta = 3/4`  prove that `sqrt(cosec^2 theta - cot)/(sec^2 theta - 1) = sqrt7/3`

If `tan θ = 20/21` show that `(1 - sin theta + cos theta)/(1 + sin theta + cos theta) = 3/7`

If Cosec A = 2 find `1/(tan A) + (sin A)/(1 + cos A)`

Evaluate the following

sin 45° sin 30° + cos 45° cos 30°

Evaluate the following

cos 60° cos 45° - sin 60° ∙ sin 45°

Evaluate the following

sin² 30° + sin² 45° + sin² 60° + sin² 90°

Evaluate the following

cos² 30° + cos² 45° + cos² 60° + cos² 90°

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^@)`