Question

If 2tan(x)=1.5, find the value of cos(x)+2sin(x) If 2tan(x)=1.5, find the value of cos(x)+2sin(x) @Mathematics

Answer 1

this means tan x = 3/4 and x is an angle either in the first or third quadrant. For the moment, let's assume it's on the first.

Now sec^2 x = 1 + tan^2 x = 25/16 => cos x = 4/5 and hence sin x = 3/5.
Thus cos x + 2 sin x = 2.

Now find the answer if x is in the third quadrant.

Answer 2

i didn't know

Answer 3

I got the same thing... just wanna be sure that I was right... thank you

Answer 4

yup its right

Answer 5

But be careful. +2 isn't the only answer because there's two locations of x.