Question

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 the simplest radical form. need answer, please

Answer 1

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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