Trigonometric Functions

Find the radian measures corresponding to the following degree measures:

Find the degree measures corresponding to the following radian measures (Use π = 22/7).

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 (Use π = 22/7).

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 through which a pendulum swings if its length is 75 cm and the tip describes an arc of length

Find the values of other five trigonometric functions: cos x = -1/2, x lies in third quadrant.

Find the values of other five trigonometric functions: sin x = 3/5, x lies in second quadrant.

Find the values of other five trigonometric functions: cot x = 3/4, x lies in third quadrant.

Find the values of other five trigonometric functions: sec x = 13/5, x lies in fourth quadrant.

Find the values of other five trigonometric functions: tan x = -5/12, x lies in second quadrant.

Find the values of the trigonometric functions: sin 765°

Find the values of the trigonometric functions: cosec(-1410°)

Find the values of the trigonometric functions: tan 19π/3

Find the values of the trigonometric functions: sin(-11π/3)

Find the values of the trigonometric functions: cot(-15π/4)

Prove that: sin² π/6 + cos² π/3 - tan² π/4 = -1/2

Prove that: 2sin² π/6 + cosec² 7π/6 cos² π/3 = 3/2

Prove that: cot² π/6 + cosec 5π/6 + 3 tan² π/6 = 6