How would you convert $y=2sin(x-π)+5$ into a cosine function?

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Answer 1 · 2017-07-08T12:51:40

$y=-2sqrt(1-cos^2x)+5$

We use the identities $sin(-A)=-sinA$ and $sin(pi-A)=sinA$

As such $y=2sin(x-pi)+5$

$=2sin(-(pi-x))+5$

$=-2sin(pi-x)+5$

$=-2sinx+5$

$=-2sqrt(1-cos^2x)+5$

How would you convert y=2sin(x-π)+5y=2sin(x-π)+5 into a cosine function?