English Medium Class 10 - CBSE Question Bank Solutions

If `tan theta = 1/sqrt7`, show that `(cosec^2 theta - sec^2 theta)/(cosec^2 theta + sec^2 theta) = 3/4`

If sin θ = `12/13`, find the value of `(sin^2 θ - cos^2 θ)/(2sin θ cos θ) × 1/(tan^2 θ)`.

if `tan theta = 12/13` Find `(2 sin theta cos theta)/(cos^2 theta - sin^2 theta)`

if `cos theta = 3/5`, find the value of `(sin theta - 1/(tan theta))/(2 tan theta)`

if `sec A = 17/8` verify that `(3 - 4sin^2A)/(4 cos^2 A - 3) = (3 - tan^2 A)/(1 - 3 tan^2 A)`

If `cot theta = 3/4`, prove that `sqrt((sec theta - cosec theta)/(sec theta + cosec theta)) = 1/sqrt7`

If `tan theta = 24/7`, find that sin θ + cos θ.

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

If `sin θ = 3/4` prove that `sqrt(("cosec"^2θ - cot^2θ)/(sec^2θ - 1)) = sqrt(7)/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°)