Question

Use a calculator to find the values of the inverse function in radians. sin-1 (0.65)

Answer 1

`\sin^(-1)(0.65)=0.7075`

Explanation:

Given : Inverse function
`\sin^(-1)(0.65)`

To find : The values of the inverse function in radians?

Solution :

Write the inverse function
`\sin^(-1)(0.65)`

Using calculator we find the value of inverse function in radians is

`\sin^(-1)(0.65)=0.7075`

If the calculator calculate in degree the first find in degree and to convert into radian multiply its by
`(\pi )/(180)`

In degree,
`\sin^(-1)(0.65)=40.5416`

In radian,
`\sin^(-1)(0.65)=40.5416* (\pi )/(180)=0.7075`

Therefore, The value of inverse function is
`\sin^(-1)(0.65)=0.7075`

Answer 2

We are given the inverse function:
sin-1 (0.65)

We can use a scientific calculator to solve this. Make sure that the mode is in radians and not in degrees
So, the answer is
sin-1 (0.65) = 0.7076 which is in radians