Homework SourseOne of sin x cos x and tan x is given Find the other two if
One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval cos x = 5/13 x in [- pi/2, 0] State the period of the function and graph. Cos 8x.![One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval cos x = 5/13 x in [- pi/2, 0] State the period of the function](/WebImages/46/one-of-sin-x-cos-x-and-tan-x-is-given-find-the-other-two-if-1147239-1761616909-0.webp "One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval cos x = 5/13 x in [- pi/2, 0] State the period of the function")
Solution
Cos x=5/13
Here adjacent=5 and hypotenuse=13
Opposite=sqrt(169-25)=12
Sin x=opposite/hypotenuse=-12/13
Tan x=opposite/adjacent=-12/5
