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