Question

find the other trigonometric functions if x=-5/12 x lies in fourth quadrant ​

Answer 1

Step-by-step explanation:

x=-5/12, x lies in fourth quadrant.

if x lies in fourth quadrant so, cosx and secx will be +ve.

cosx= 5/12 , secx= 12/5

sin^2x+cos^2x=1

sin^2x= 1-cos^2

sin^2x= 1-(5/12)^2

sin^2x= 1-25/144

sin^2x= 144-25/144= 119/144

sinx = √119/144= √119/12

sinx = √119/12, cosecx = 12/√119

sec^2x - tan^2x =1

sec^2x -1 = tan^2x

(12/5)^2 -1 = tan^2x

144/25 -1 = tan^2x

144-25/25 = tan^2x

tan^2x= 119/25

tanx = √119/25

tanx = √119/5, cotx= 5/√119

Here your all Answer.