Better Students Ask More Questions.
What is tan x if cos x =-3/5?
1 Answer | add yours
High School Teacher
To solve for tan x, apply the formula:
`tan x= sinx/cosx`
But the value of sin x is not given. So, apply the Pythagorean identity to get its value.
Plug-in cos x=-3/5.
Now that the value of sine is known, plug-in `cos x=-3/5` and `sinx=+-4/5` to the formula of tangent.
`tan x= sinx/cosx=(4/5)/(-3/5)=(4/5)*(-5/3)=-4/3`
`tanx = sinx/cosx=(-4/5)/(-3/5)=(-4/5)*(-5/3)=4/3`
Hence, `tan x=+-4/3` .
Posted by mjripalda on July 24, 2013 at 6:03 AM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.