Question

Given the ordered pair P, determine the requested sin, cos, or tan of angle .
P(-5, -3)
cos =

Answer 1

first draw a dot at given point (-5,-3) and make a right triangle. we know that (x,y)(-5,-3) x=-5 y=-3 we can use Pythagorean theorem to find the length of hypotenuse.

Answer 2

\[\large\rm a^2+b^2=c^2\] Pythagorean theorem
where c is the longest side of right triangle (hypotenuse)

Answer 3

\[\rm (-5)^2+(-3)^2=c^2\] solve for c.

Answer 4

\[\rm cos(\theta) =\frac{\color{blue}{adjacent}}{\color{green}{hypotenuse}} \] \[\rm sin(\theta) =\frac{\color{red}{opposite}}{\color{green}{hypotenuse}} \] \[\rm tan(\theta) =\frac{\color{red}{opposite}}{\color{blue}{adjacent}} \]