Find the values of the trigonometric functions of t from the

Find the values of the trigonometric functions of t from the given information. 5 sin(t)13 t) =-T , terminal point of t is in Quadrant IV cos(t) = tan(t) = csc(t) = sec(t) = cot(t) =

Solution

So, we have sin(t) = -5/13

Quad 4

in quad 4, only cos and sec positive...

sin(t) = opp/hyp = -5/13

So, we have :
opp = 5
hyp = 13

Thus, using pythagorean,
adj^2 = 169 - 25
adj^2 = 144
adj = +12

So, we have opp = 5
hyp = 13
adj = 12

cost = adj/hyp = +12/13

tant = opp/adj = -5/12

csct = 1/sint = -13/5

sect = 1/cost = 13/12

cott = 1/tant = -12/5