Question

Please help me! i do t know....​

Answer 1

Answer:

$-3/\sqrt{58}$

Step-by-step 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 $\sqrt{58}$

sin = opposite / hypotenuse

so sin(theta) = $-3/\sqrt{58}$