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91Ó°ÊÓ

For any angle θin standard position, let P=x,ybe the point on the terminal side of θthat is also on the circlex2+y2=r2.

Then, sinθ=________ and cosθ= ________.

Short Answer

Expert verified

For any angle θin standard position, let P=x,ybe the point on the terminal side of θthat is also on the circle x2+y2=r2.

Then,role="math" localid="1646406195488" sinθ=yr,cosθ=xr.

Step by step solution

01

Given information

Given the circle x2+y2=r2and P=x,yis a point on the circle.

The main objective is to findsinθ,cosθ.

02

Evaluate

From the definitions of sine and cosine functions on a circlex2+y2=r2at a pointx,y, it is clear thatsinθ=yr,cosθ=xr.

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