five trigonometric functions

Question

Use identities to find the remaining five trigonometric functions of θ if tan θ = ¾ and cos θ < 0. Be sure to write the identity you are using.

Answer 1

quadrant III when tangent is positive and cosine negative

cotx = 4/3

It's a 3-4-5 right triangle (5^2 = 3^2 + 4^2)

cosx=-4/5, secx=-5/4

sinx =-3/5, cscx =-5/3