Trigonometric Functions

Find for , x in quadrant II

Find for , x in quadrant III

 Find for , x in quadrant II

Prove that: 

Prove that: 

Prove that: 

Prove that: 

Prove that: 

Prove that: (sin 3x + sin x) sin x + (cos 3x - cos x) cos x = 0

Prove that: 

Find the general solution of the equation 

Find the general solution of the equation 

Find the general solution of the equation 

Find the general solution of the equation 

Find the general solution of the equation 

Find the general solution of cosec x = -2

Find the principal and general solutions of the equation 

Find the principal and general solutions of the equation 

Find the principal and general solutions of the equation 

Prove that: cos 6x = 32 cos⁶ x - 48 cos⁴ x + 18 cos² x - 1

Prove that cos 4x = 1 - 8sin² x cos² x

Prove that 

Prove that cot x cot 2x - cot 2x cot 3x - cot 3x cot x = 1

Prove that 

Prove that 

Prove that 

Prove that 

Prove that 

Prove that 

Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)

Prove that sin 2x + 2sin 4x + sin 6x = 4 cos² x sin 4x

Prove that cos² 2x - cos² 6x = sin 4x sin 8x

Prove that sin² 6x - sin² 4x = sin 2x sin 10x

Prove that

Prove that sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x

Prove that

Prove that: 

Prove that:

Find the value of:

(i) sin 75°

(ii) tan 15°

Prove that 

Prove that 

Prove that 

Find the value of the trigonometric function

Find the value of the trigonometric function

Find the value of the trigonometric function 

Find the value of the trigonometric function cosec (-1410°).

Find the value of the trigonometric function sin 765°.

Find the values of other five trigonometric functions if , x lies in fourth quadrant.

Find the values of other five trigonometric functions if , x lies in second quadrant.

Find the values of other five trigonometric functions if , x lies in third quadrant.

Find the values of other five trigonometric functions if , x lies in second quadrant.

Find the values of other five trigonometric functions if , x lies in third quadrant.

Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length

(i) 10 cm (ii) 15 cm (iii) 21 cm

If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.

Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm.

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Find the degree measures corresponding to the following radian measures

.

(i)  (ii) -4 (iii)  (iv) 

Find the radian measures corresponding to the following degree measures:

(i) 25° (ii) - 47° 30' (iii) 240° (iv) 520°