The point E(-7,-24) lies on the circle whose equation is x² + y² = 625. If an angle is drawn in standard position and its terminal ray passes through E, what is the value of the sine of this angle?(1) -7(2) -7/24(3) -24(4) -24/25

ankarskogC

ankarskogC

Answered question

2020-11-23

The circle whose equation is x²+y²=625 is where the point E(-7, 24) is located. What is the sine of an angle when it is drawn in standard position and its terminal ray passes through E? . 
(1) -7
(2) 724
(3) -24
(4) 2425

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2020-11-24Added 109 answers

An angle passing through (x,y) has the sine given by:
sinθ=yr

From point E, y=24.

Since r=x2+y2, then r=625=25 so:

sinθ=2425=2425

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