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Blababa [14]
2 years ago
8

Write the equation for the inverse of the function: y=sinx

Mathematics
1 answer:
Kitty [74]2 years ago
7 0

Answer:

<h3>b. y=arcsinx</h3>

Step-by-step explanation:

Given the function y = sinx

The equation of its inverse can be gotten by first taking the arcsin of both sides as shown

arcsiny = arcsin(sinx)

The arcsin will cancel out the sin function at the right hand side to have;

arcsiny = x

x = arcsiny

Replacing the variable 'y' with x and 'x' in y in the resulting equation we have;

y = arcsinx

This gives the required inverse.

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