trigonometry hw help

Question

Given tan(θ)=12/5 and  π <θ<3π/2 find the exact value of the other five trigonometric function values. Write your answers as fractions. All sides are integers. Simplify square roots. If you find one of the sides of the triangle is something like √1225 evaluate it to 35.

Answer 1

quadrant III angle. 5-12-13 right triangle

or in quadrant III, that's a -5 -12 13 right triangle

tan(theta)= 12/5

cot(theta) =5/12

sin(theta) = -12/13

csc(theta) =-13/12

cos(theta)= -5/13

sec(theta) =-13/5