Find the values of the trigonometric functions of t from the

Find the values of the trigonometric functions of t from the given information. tan(t) = - 8/15, cos(t) > 0 sin(t) = cos(t) = CSC (t) = sec(t) = cot(t) =

Solution

Here w ehave tan(t) = 8/15

and we know tan() = Perpendicular/Base

so we have Perpendicular = 8 and Base = 15 , now we can calculate Hypotenuse from these values

hynpotenuse² = perpendicular² + base²
hypotenuse² = 8*8+15*15
hypotenuse² = 289 (64+225)
hypotenuse = 17 (sqaure root of 289)

Now we will get the value of other functions

sin(t) = Perpendicular/Hynpotenuse

sint(t) = 8/17

cost(t)= Base/Hynpotenuse

cost(t) = 15/17

csc(t) = Hynpotenuse/Perpendicular

csc(t) = 17/8

sec(t) = Hynpotenuse/Base

sec(t) = 17/15

cot(t) = Base/Perpendicular

cot(t0 = 15/8