Q. Find the radian measures corresponding to the following degree measures:(i) ${25}^{\circ }$(ii) $-{47}^{\circ }{30}^{\prime }$(iii) ${240}^{\circ }$(iv) ${520}^{\circ }$

Q. Find the value of $\csc (-{1410}^{\circ })$

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

Q. If in two circles, arcs of the same length subtend angles ${60}^{\circ }$ and ${75}^{\circ }$ at the centre, find the ratio of their radii.

Q. Find the value of $\cot (-\frac{15\pi }{4})$

Q. 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. $(Use\pi =\frac{22}{7})$

Q. Find the value of $\sin (-\frac{11\pi }{3})$

Q. Convert ${25}^{\circ }$ into radian.

Q. Find the value of $\tan \frac{19\pi }{3}$

Q. Find the general solution for $\cos 4x=\cos 2x$

1. $x=n\pi$ or $\frac{n\pi }{6}$
2. $x=n\pi$ or $\frac{n\pi }{3}$
3. $x=\frac{2n\pi }{3}$
   
4. $x=\pi$
   

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

Q. Find the value of $\sin {765}^{\circ }$

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

Q. Find the degree measures corresponding to the following radian measures $(Use\pi =\frac{22}{7})$.
(i) $\frac{11}{16}$
(ii) $-4$
(iii) $\frac{5\pi }{3}$
(iv) $\frac{7\pi }{6}$

Q. $\tan x=-\frac{5}{12},x$ lies in second quadrant.

Q. $\cos x=-\frac{1}{2}$, x lies in third quadrant.

Q. Find the value of other five trigonometric ratios:

Q. Find the value of other five trigonometric ratios:

Q. Find the value of other five trigonometric ratios:

Q. Find the principal and general solutions of the following equations:(i) $\tan x=\sqrt{3}$ (ii) $\sec x=2$(iii) $\cot x=-\sqrt{3}$(iv) $cosecx=-2$