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.Com
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) (Show Source): You can put this solution on YOUR website!
=\cos^2(x))
Start with the given equation
-\cos^2(x)=0)
Subtract )
from both sides
-(1-\sin^2(x))=0)
Replace with )
-1+\sin^2(x)=0)
Distribute the negative
-1=0)
Combine like terms
=1)
Add 1 to both sides
=\frac{1}{4})
Divide both sides by 4
=sqrt{\frac{1}{4}})
Take the square root of both sides
=\frac{1}{2})
Simplify
)=arcsin(\frac{1}{2}))
Take the arcsine of both sides
Take the arcsine of both sides
Since 
, the only solution is
or x=30 degrees
RELATED QUESTIONS
If 0 degrees less than or equal to x degrees less than or equal to 180 degrees and... (answered by stanbon)
Solve 3sin^2x + 2cosx + 1 = 0. For x is less than or equal to... (answered by Alan3354)
Solve for x where 0 degrees is less then or equal to x and x is less then or equal too... (answered by stanbon,MathTherapy)
Solve the following equation algebraically for all values of theta in the interval 0... (answered by Fombitz,nyc_function)
Solve 3tan(3x-20){degrees}=5,where 0 {degrees} is less than or equal to x which is less... (answered by stanbon)
(cos^2(x)=-cos(x) solve for all values of x in the interval 0 degrees is less than or... (answered by solver91311)
Please solve the equation: (x is less than or equal to 2pi and greater than or equal to... (answered by lwsshak3)
Given information: Solve for theta. 0 degrees is less than or equal to theta, which is... (answered by Alan3354)
Solve tan x= cot x for 0 degrees less than or equal to x less than or equal to 180... (answered by Alan3354)