Question

Please help me! i do t know....​

Answer 1

`-3/√(58)`

Explanation:

tan = opposite / adjacent

opposite side is the y-coordinate of a point on the terminal side

adjacent side is the x-coordinate of a point on the terminal side

if the terminal side is in the second quadrant (the top-left quadrant), a coordinate on the terminal side would have a negative x-coordinate and a positive y-coordinate

This being the case:

the opposite side (y) would be -3 and the adjacent side (x) would be 7

using the Pythagorean theorem:

`a^2+b^2=c^2`

`7^2+(-3)^2=c^2`

The hypotenuse is c, so it equals
`√(58)`

sin = opposite / hypotenuse

so sin(theta) =
`-3/√(58)`