An angle, Theta. is in standard position. The terminal side of the angle passes through the point (6.-5).

Mathematics

1 answer:

qaws [65]3 years ago

7 0

9514 1404 393

Answer:

sin(θ) = (-5√61)/61

Step-by-step explanation:

The distance from the origin to the given point is ...

d = √(6² +(-5)²) = √61

The sine of the angle is the ratio ...

sin(θ) = y/d = -5/√61

Rationalizing the denominator gives us ...

sin(θ) = (-5√61)/61

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