SOLUTION: Solve the equation 3sin^2x = cos^2x, for 0 degrees is less then or equal to x which is less than or equal to 180 degrees I really appreciate this!!! I changed it to 3sin^2x-

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation 3sin^2x = cos^2x, for 0 degrees is less then or equal to x which is less than or equal to 180 degrees I really appreciate this!!! I changed it to 3sin^2x-      Log On


   

Question 112354: Solve the equation 3sin^2x = cos^2x, for 0 degrees is less then or equal to x which is less than or equal to 180 degrees
I really appreciate this!!!
I changed it to 3sin^2x-cos^2x=0
I just subracted the cos from both sides of the equation, but I do not know what to do from here.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given equation


Subtract from both sides


Replace with

Distribute the negative


Combine like terms

Add 1 to both sides


Divide both sides by 4


Take the square root of both sides


Simplify


Take the arcsine of both sides


Take the arcsine of both sides


Since , the only solution is


or x=30 degrees