The point ( − 3 , − 5 ) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?

Answer 1

then opposite = -5 and adjacent = -3 which puts the angle in quadrant 3.

tangent is positive while cosine and sine are negative.

the hypotenuse is sqrt( 25 +9) = sqrt(34)

sine is -5/sqrt(34) = -5*sqrt(34)/34

cosine is -3/sqrt(34) = -3*sqrt(34)/34

tangent is 5/3

cosecant is -sqrt(34)/5

secant is -sqrt(34)/3

cotangent is 3/5