Question

Which is the radian measure of an angle whose sine is 0.6? Round your answer to two decimal places.

Answer 1

set your calculator to radians and enter arcsin ( or sin-1) and 0.6

answer is 0.64 radians

Answer 2

The radian measure of an angle whose sine is 0.6 is:

0.64 radians

Explanation:

Let θ be the angle along which the angle of sine is calculated.

We are given:

`\sin \theta=0.6`

Now in order to find the value of θ we need to take the inverse trignometric function.

Taking sine trignometric function on both side we get;

`\theta=\arcsin 0.6`

Hence, calculating the value of sine inverse 0.6 in radians in two decimal places we get:

`\theta=0.64`