Question

If tan t = 4/3 in quadrant 3, find the remaining trig functions.

sin t:

cos t:

csc t:

sec t:

cot t:

Answer 1

Below

Explanation:

edited: FOR QIII (I didn't see that part)

Remember for a right triangle S-O-H-C-A-H-T-O-A

Tan is OPPOSITE LEG / ADJACENT LEG

make the right triangle with legs 3 and 4 ( in quadrant III)

then the hypotenuse is 5

sin = opp/ hyp = - 3/5

cos = - 4/5

csc = 1/sin = - 5/3

sec = 1/cos = - 5/4

cot = 1/tan = 3/4