English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

If 3 cot θ = 2, find the value of  `(4sin theta - 3 cos theta)/(2 sin theta + 6cos theta)`.

If tan θ = `a/b` prove that `(a sin theta - b cos theta)/(a sin theta + b cos theta) = (a^2 - b^2)/(a^2 + b^2)`

If `sec θ = 13/5`, show that `(2 sin θ - 3 cos θ)/(4 sin θ - 9 cos θ) = 3`.

If `cos θ = 12/13`, show that `sin θ (1 - tan θ) = 35/156`.

If `cot theta = 1/sqrt3` show that  `(1 - cos^2 theta)/(2 - sin^2  theta) = 3/5`

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

If sin θ = `12/13`, Find `(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 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°