(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Use the given figure to find:
(i) tan θ°
(ii)  θ°
(iii) sin²θ° - cos²θ°
(iv) Use sin θ° to find the value of x.

Find the magnitude of angle A, if 2 sin A cos A - cos A - 2 sin A + 1 = 0

Solve for x : 2 cos 3x - 1 = 0

If 4 cos² x = 3 and x is an acute angle;
find the value of :
(i) x 
(ii) cos² x + cot² x
(iii) cos 3x (iv) sin 2x

In ΔABC, ∠B = 90° , AB = y units, BC = `(sqrt3)` units, AC = 2 units and angle A = x°, find:

1. sin x°
2. x°
3. tan x° 
4. use cos x° to find the value of y.

If 2 cos (A + B) = 2 sin (A - B) = 1;
find the values of A and B.

State for any acute angle θ whether cos θ increases or decreases as θ increases.

State for any acute angle θ whether tan θ increases or decreases as θ decreases.

Solve the following equation for A, if 2cos2A = 1

Solve the following equation for A, if sec 2A = 2

Solve the following equations for A, if `sqrt3` tan A = 1

Solve the following equation for A, if tan 3 A = 1

Solve the following equation for A, if 2 sin 3 A = 1

Solve the following equation for A, if `sqrt3` cot 2 A = 1

Solve the following equation for A, if 2 sin A = 1

Calculate the value of A, if (tan A - 1) (cosec 3A - 1) = 0

Calculate the value of A, if (sec 2A - 1) (cosec 3A - 1) = 0

Calculate the value of A, if cos 3A. (2 sin 2A - 1) = 0

Calculate the value of A, if (cosec 2A - 2) (cot 3A - 1) = 0

If sin 3A = 1 and 0 < A < 90^°, find cos 2A