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Popular >

2sin^2(x)-2cos^2(x)=0

Solution

2 sin^{2} (x) - 2 cos^{2} (x) = 0

Solution

x = \frac{3 π}{4} + πn, x = \frac{π}{4} + πn

+1

Solution steps

2 sin^{2} (x) - 2 cos^{2} (x) = 0

Factor

2 sin^{2} (x) - 2 cos^{2} (x) : 2 (sin (x) + cos (x)) (sin (x) - cos (x))

2 (sin (x) + cos (x)) (sin (x) - cos (x)) = 0

Solving each part separately

sin (x) + cos (x) = 0 or sin (x) - cos (x) = 0

sin (x) + cos (x) = 0 : x = \frac{3 π}{4} + πn

sin (x) - cos (x) = 0 : x = \frac{π}{4} + πn

Combine all the solutions

x = \frac{3 π}{4} + πn, x = \frac{π}{4} + πn

Popular Examples

sin^2(x)+2cos^2(x)=2

sin^{2} (x) + 2 cos^{2} (x) = 2

solvefor x,cos^2(x)+cos^2(y)cos^2(z)=1 solve for

x, cos^{2} (x) + cos^{2} (y) cos^{2} (z) = 1

cos(5x)+cos(x)=0

cos (5 x) + cos (x) = 0

solvefor x,f=cos^2(x)solve for

x, f = cos^{2} (x)

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

cos^{2} (x) - 2 cos (x) = - 1

Frequently Asked Questions (FAQ)

What is the general solution for 2sin^2(x)-2cos^2(x)=0 ?
The general solution for 2sin^2(x)-2cos^2(x)=0 is x=(3pi)/4+pin,x= pi/4+pin