English Medium इयत्ता १० - CBSE Question Bank Solutions

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°

If sin (A − B) = sin A cos B − cos A sin B and cos (A − B) = cos A cos B + sin A sin B, find the values of sin 15° and cos 15°.

In ΔABC is a right triangle such that ∠C = 90°, ∠A = 45° and BC = 7 units. Find ∠B, AB and AC.

The internal and external diameters of a hollow hemisphere vessel are 21cm and 25.2 cm The cost of painting 1cm² of the surface is 10paise. Find total cost to paint the vessel all
over______?

Prove that the surface area of a sphere is equal to the curved surface area of the circumference cylinder__?

A tent of height 77dm is in the form a right circular cylinder of diameter 36m and height 44dm surmounted by a right circular cone. Find the cost of canvas at Rs.3.50 per m² ?