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Viktor [21]
3 years ago
13

Please help me. This for an online class.

Mathematics
1 answer:
Brut [27]3 years ago
8 0

Look at the picture.

Definitions:

\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}

We have the point (-5, -12) → x = -5, y = -12.

Calculate r:

r=\sqrt{(-5)^2+(-12)^2}=\sqrt{25+144}=\sqrt{169}=13

Substitute to the formula of sin:

\sin\theta=\dfrac{-12}{13}=-\dfrac{12}{13}

Answer: a.

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