Question

Please help me. This for an online class.

Answer 1

Look at the picture.

Definitions:

`\sin\theta=(y)/(r)\\\\\cos\theta=(x)/(r)\\\\\tan\theta=(y)/(x)\\\\\cot\theta=(x)/(y)`

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

Calculate r:

`r=√((-5)^2+(-12)^2)=√(25+144)=√(169)=13`

Substitute to the formula of sin:

`\sin\theta=(-12)/(13)=-(12)/(13)`

Answer: a.