If θ is an angle in standard position and its terminal side passes through the point (5,-12), find the exact value of sinθ in th e simplest radical form. need answer, please
1 answer:
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Answer:
sin(θ) = -12/13
Step-by-step explanation:
The distance from the origin to the given point is ...
r = √(5² +(-12)²) = √169 = 13
For point (x, y) ⇔ (r; θ), recognize that (x, y) = (r·cos(θ), r·sin(θ)). This translates to ...
sin(θ) = y/r
sin(θ) = -12/13
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