baskinjabari baskinjabari

Today at 10:36 PM
Mathematics

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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 :

sqdancefan sqdancefan

Today at 10:41 PM

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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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