SOLUTION: Solve {{{sin^2(x)}}} = {{{3cos^2(x)}}}

Algebra.Com
Question 590169: Solve =
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
= 
Divide both sides by cos²(x)

 = 3

 = 3

tan²(x) = 3

tan(x) = ±

x = 60° and 240° if in degrees

x =  and  if in radians

Edwin
RELATED QUESTIONS

Solve 3cos^3 (x) +sin^3 (x) +sin(x)... (answered by Fombitz)
-3cos(pi/2 - X) =... (answered by ikleyn)
2(sin(x))^2-3cos(x)+3=0 what is the exact... (answered by lwsshak3)
cos^2(x)+3cos(x)-1=0 (answered by MathLover1)
the derivative of... (answered by algebrapro18)
I need to solve the following for x where degrees 0 (answered by Edwin McCravy)
find all solutions on the interval 0 ≤x≤2pi :... (answered by Gogonati)
If sin(x) + sin^2(x) = 1, then the value of cos^12(x) + 3cos^10(x) + 3cos^8(x) + cos^6(x) (answered by ikleyn,Edwin McCravy,AnlytcPhil)
Find the complete solution of the equation {{{cos(x)sin^2(x)-(3cos(x))/4 = 0}}} in... (answered by Edwin McCravy,solver91311)