Exercise 3.1 Find the radian measures corresponding to the following degree measures: (i) 25° (ii) – 47° 30' (iii) 240° (iv) 520°

Find the degree measures corresponding to the following radian measures . (I) (ii) – 4 (iii) (iv)

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

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 .

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

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

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

Exercise 3.2 Find the values of other five trigonometricfunctionsif, x lies in third quadrant.

Find the values of other five trigonometricfunctionsif, 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 trigonometricfunctionsif, x lies in fourth quadrant.

Find the values of other five trigonometricfunctionsif, x lies in second quadrant.

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

Find the value of: (I) sin75° (II) tan15°

Prove that:

Provethat:

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

Provethat

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

L.H.S. = 0 = R.H.S

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:

, x in quadrant II

Find for , x in quadrant III

Find for , x in quadrant II