M L Aggarwal Solutions for Chapter: Trigonometry, Exercise 1: EXERCISE 3.1

Find the degree measure corresponding to the following radian measure:

$6$

Find the degree measure corresponding to the following radian measure:

$\frac{3}{4}$

[Take $2$ decimals after every calculation and $\mathrm{\pi }=\frac{22}{7}$]

Find the degree measure corresponding to the following radian measure:

$-3$

If the angle in between the hands of a clock at $3.30 \mathrm{A}.\mathrm{M}.$ is $\frac{k\mathrm{\pi }}{12}$ radians, then find the value of $k$.

The circular measures of two angles of a triangle are $\frac{1}{2}$ and $\frac{1}{3}.$ Find the third angle in degree measure. Take $\pi =\frac{22}{7}$.

The difference between two acute angles of a right angled triangle is $\frac{\pi }{5}$ in radian measure. Find these angles in degrees.

The angles of a triangle are in $A.P.$ and the greatest angle is double the least. Find all the angles in circular measure.

Estimate the diameter of the sun supposing that it subtends an angle of ${32}^{\mathrm{\prime }}$ at the eye of an observer. Given that the distance of the sun is $91\times {10}^6 \mathrm{km}$. Take $\pi =\frac{22}{7}$.

[Enter the value excluding the units and correct upto $1$ decimal place]