Find the radian measures corresponding to the following degree measures:

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

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

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

Find the value of the trigonometric function sin 765°

Find the value of the trigonometric function cosec (–1410°)

Find the value of the trigonometric function 

Find the value of the trigonometric function

Find the value of the trigonometric function

prove that 

Prove that 

Prove that 

Prove that 

Find the value of:

(i) sin 75°

(ii) tan 15°

Prove that:

Prove that: 

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 sin² 6x – sin² 4x = sin 2x sin 10x

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

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

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

Prove that 

Prove that 

Prove that 

Prove that 

Prove that 

Prove that 

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

Prove that 

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

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

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 

Find the general solution of cosec x = –2

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 

Prove that: 

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

Prove that: 

Prove that: 

Prove that: 

Prove that: 

Prove that: 

Find for , x in quadrant III

Find for , x in quadrant II