Let sinx 8 11 and 2 x Find the other five trig values fo

Let sin(x) = 8/ 11 and /2 < x < . Find the other five trig values for x.

sin(x) = 8/ 11 and /2 < x <

x is in IInd quadrant , cosx and tanx are -ve

base of right angled traingle = sqrt(11^2 -8^2) = sqrt57

cosx = -sqrt(57)/11

secx = 1/cosx =-11/sqrt(57)

tanx = -8/sqrt(57)

cotx = sqrt57/8

cscx = 1/sinx = 11/8