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3 years ago

Please help me solve this

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

9514 1404 393

Answer:

sin(θ) ≈ -0.92

cos(θ) ≈ 0.38

tan(θ) = -2.40

Step-by-step explanation:

Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...

r² = (5)² + (-12)²

r² = 169

r = √169 = 13

The trig relations for a point on the terminal ray are ...

(x, y) = (r·cos(θ), r·sin(θ))

Then ...

sin(θ) = y/r = -12/13 ≈ -0.92

cos(θ) = x/r = 5/13 ≈ 0.38

tan(θ) = y/x = -12/5 = -2.40

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