Angle in radian through which a pendulum swings if its length is 75, cm and tip describes an arc of

English

Gujarati

Hindi

3.Trigonometrical Ratios, Functions and Identities

easy

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

$10 \,cm$

A

$\frac{2}{15}$

B

$\frac{2}{15}$

C

$\frac{2}{15}$

D

$\frac{2}{15}$

Solution

We know that in a circle of radius $r$ unit, if an arc of length $l$ unit subtends

An angle $\theta$ radian at the centre, then $\theta=\frac{l}{r}$

It is given that $r=75 \,cm$

Here, $l=10\, cm$

$\theta=\frac{10}{75}\, radian =\frac{2}{15}\, radian$

Standard 11

Mathematics

Share

Similar Questions

The value of $\tan ( – 945^\circ )$ is

easy

The value of $2({\sin ^6}\theta + {\cos ^6}\theta ) – 3({\sin ^4}\theta + {\cos ^4}\theta ) + 1$ is

easy

$\frac{{2\sin \theta \,\tan \theta (1 – \tan \theta ) + 2\sin \theta {{\sec }^2}\theta }}{{{{(1 + \tan \theta )}^2}}} = $

easy

If $\frac{{3\pi }}{4} < \alpha < \pi ,$ then $\sqrt {{\rm{cose}}{{\rm{c}}^2}\alpha + 2\cot \alpha } $ is equal to

easy

If $\cot x=-\frac{5}{12}, x$ lies in second quadrant, find the values of other five trigonometric functions.

medium