Find the exact values of the remaining trigonometric functions of 𝜃 satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.) cos(𝜃) = −0.8, 𝜃 lies in Quadrant III.

Answer 1

Quadrant 3, tangent is positive, while cosine and sine are negative.

cos T = -4/5 = -0.8 ---> adjacent = -4 and hypotenuse = 5

Then opposite = -3 by pythagorean and the terminal point is (-4,-3)

sin T = -3/5 = -0.6

cos T = -4/5 = -0.8

tan T = -3/-4 = 3/4

csc T = -5/3 = -1.66666.....

sec T = -5/4 = -1.25

cot T = 4/3 = 1.3333....