rossshallyJa6ckiech rossshallyJa6ckiech

04-11-2016
Mathematics

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Write the equation for the inverse of the function y = pi/4 + sin x.

Verified Answer :

alsteva alsteva

10-11-2016

\(y= \frac{\pi}{4}+\sin{x}\)
We find the inverse function by interhanging x and y, and expressing y in terms of x.
\(x= \frac{\pi}{4}+\sin{y} \\\sin{y}= x-\frac{\pi}{4} \\\arcsin{(\sin{y})}=\arcsin{(-\frac{\pi}{4})} \\y=\arcsin{(x-\frac{\pi}{4})}\)

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tccunningham13 tccunningham13

13-04-2020

Answer:

C

Step-by-step explanation:

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