I don't know how to solve this math problem help!!!

[hello_there_123]

Solve for $x$ 

$8\tan(x)=3\cos(x)$ pleasei  do not know how to solve please!!

[hello_there_123]

8 tan x = 3 cos x, solve for x 

 

 

[Dash Lambda]

You have to use a couple trig identities, SOSMATH has an excellent reference you can use.

 

Using two trig identities, you can turn it into a quadratic form: a*sin²(x) + b*sin(x) + c = 0

You can solve that for for sin(x), and from there you can directly get x.

[Fasauceome]

if you want the easy route, use https://www.wolframalpha.com/

[dgsddfgdfhgs]

3 hours ago, hello_there_123 said:

8 tan x = 3 cos x, solve for x 

tan x = sinx / cosx;

sinx = 1- cosx

then calculator time

Edited April 2, 2019 by dgsddfgdfhgs

[Dash Lambda]

56 minutes ago, dgsddfgdfhgs said:

sin(x) = 1 - cos(x)

Not quite.

[dgsddfgdfhgs]

24 minutes ago, Dash Lambda said:

Not quite.

oops for got the sq ~~lol

sin^2 (x) = 1 - cos^2 (x)

 

then solve     8/3 sin (x) = cos^2 (x)