Use the given values to find the values if possible of all s

Use the given values to find the values (if possible) of all six trigonometric functions. (If an answer is undefined, enter UNDEFINED.) cos (pi/2 - x) = 8/17, cos x = 15/17

Solution

cos( ( pi /2) - x ) = 8/17 cos x = 15 /17 ( pi /2 = 180 /2 = 90)

cos ( 90 - x) = 8/17

1) sin x = 8/17 [ cos( 90- theta) = sin (theta) ]

2) cos x = 15 /17

3) tan x = sin x / cos x

= (8 / 17) / ( 15 /17)

= 8 / 15

4) cosec x = 1 / sin x

= 17 / 8

5) sec x = 1 / cos x

= 17 / 15

6) cot x = 1 / tan x

= 15 /8