Inverse Sine Function

In this page we are going to ndiscuss about inverse sine function concept. In trigonometric we are having sine, cosine and tan functions and we have the inverse function for all these. Sine inverse function is the inverse function of sine. We will learn about the sine inverse function. Let us take an example function f its inverse function is F-1. F (x) = y then x = F-1(y). The inverse trigonometric functions are important for the integrals.


Explanation for inverse sine function

Normally if we have a function we can find the value of inverse by taking the inverse of the given function. Sin inverse function is nothing but the inverse function of the sine. We can represent this like the following sin-1. If we have a function like y = sin x then the sin inverse function will be like the following.  = sin-1 y. We have to take the sin inverse for both side then we will get the variables one side and the inverse function of the sine another side. Let us see the graph for the sin function

Inverse of sine function
Examples for inverse of sine function

Here we are going to see some problems to find the sin inverse value.

Example 1:

Find the sin inverse value of y where y = Sin (0.9898)

Solution:

y = Sin (0.9898)

To find the sin inverse we have to take the sin inverse for both sides.

Sin-1 (y) = Sin-1 (sin (0.9898))

Sin-1 (y) = 0.9898

Example 2:

Find the sin inverse of the given value. X = 0.2588

Solution:

x = 0.2588

To find the sin inverse we have to take the sin inverse for both sides.

Sin-1 (x) = Sin-1 (0.2588)

Sin-1 (x) = 14.99



Example 3:

Find the sin inverse of the given value. X = 0. 1234

Solution:

x = 0.1234

To find the sin inverse we have to take the sin inverse for both sides.

Sin-1 (x) = Sin-1 (0.1234)

Sin-1 (x) = 7.08