Question

Use fundamental identities to find exact values of the remaining trig functions given that sec x=11/9 , tan x < 0?

Answer 1

sec x=11/9

so both sec x and cos x are positive

Answer 2

tan x<0

means sin x<0 from above observation

Answer 3

Hence the angle lies in 4th quadrant

Answer 4

Now just use the right triangle and find all other trigonometric ratios. Don't forget to put correct sign according to 4th quadrant.

Answer 5

I tired doing that, but it wasn't correct. I found cosine x = 9/11, but the others I cant find