(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

Evaluate:

`2 tan57^circ/(cot33^circ) - cot70^circ/(tan20^circ) - sqrt(2)  cos45^circ`

Evaluate:

`(cot^2 41^circ)/(tan^2 49^circ) - 2 sin^2 75^circ/cos^2 15^circ`

Evaluate:

`cos70^circ/(sin20^circ) + cos59^circ/(sin31^circ) - 8 sin^2 30^circ`

Evaluate:

14 sin 30° + 6 cos 60° – 5 tan 45°

A triangle ABC is right angles at B; find the value of`(secA.cosecC - tanA.cotC)/sinB`

Find the value of x, if sin x = sin 60° cos 30° – cos 60° sin 30°

Find the value of x, if sin x = sin 60° cos 30° + cos 60° sin 30°

Find the value of x, if cos x = cos 60° cos 30° – sin 60° sin 30°

Find the value of x, if tan x = `(tan60^circ - tan30^circ)/(1 + tan60^circ tan30^circ)`

Find the value of x, if sin 2x = 2 sin 45° cos 45°

Find the value of x, if sin 3x = 2 sin 30° cos 30°

Find the value of x, if cos (2x – 6) = cos² 30° – cos² 60°

Find the value of angle A, where 0° ≤ A ≤ 90°.

sin (90° – 3A) . cosec 42° = 1

Find the value of angle A, where 0° ≤ A ≤ 90°.

cos (90° – A) . sec 77° = 1

Prove that:

`(cos(90^circ - theta)costheta)/cottheta = 1 - cos^2theta`

Prove that:

`(sinthetasin(90^circ - theta))/cot(90^circ - theta) = 1 - sin^2theta`

Evaluate:

`(sin35^circ cos55^circ + cos35^circ sin55^circ)/(cosec^2 10^circ - tan^2 80^circ)`

Use tables to find sine of 21°

Use tables to find sine of 34° 42'

Use tables to find sine of 47° 32'