Find the values of the six trigonometric functions of 𝜃. (If an answer is undefined, enter UNDEFINED.)

Question

Function Value: cos (𝜃) = -8/17

Constraint: 𝜃 lies in Quadrant III

sin (𝜃) =

cos (𝜃) =

tan (𝜃) =

csc (𝜃) =

sec (𝜃) =

cot (𝜃) =

Answer 1

The 3rd side would be -15. You can find this by using the Pythagorean Theorem or if you know your Pythagorean triples. You also know it's negative because it is the 3rd quadrant.

sin Φ = -15/17

cos Φ = -8/17

tan Φ = 15/8

csc Φ = - 17/15

sec Φ = -17/8

cot Φ = 8/15