Answer:
Step-by-step explanation:
To find the inverse of a function f (x) follow the steps below:
1) Make y = f (x)
2) Solve for the variable x
3) Exchange the variable x with the variable y
4) Make
Finally, the inverse of the function f (x) is:
They y-axis represents the -3 now all that you need to do is line it up to -3 and 3 in the graph
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2