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Popular >

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

Solution

solve for

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

Solution

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

+1

Solution steps

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

Rewrite using trig identities

cos (2 x) = 0

General solutions for

cos (2 x) = 0

2 x = \frac{π}{2} + 2 πn, 2 x = \frac{3 π}{2} + 2 πn

Solve

2 x = \frac{π}{2} + 2 πn : x = \frac{π}{4} + πn

Solve

2 x = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{4} + πn

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

Popular Examples

cos(x)= 60/61 ,cos(2x)

cos (x) = \frac{60}{61}, cos (2 x)

solvefor x,tan(3x)=-1/(sqrt(3))solve for

x, tan (3 x) = - \frac{1}{3}

arcsin(x/(sqrt(3^2+x^2)))=0.01117

arcsin (\frac{x}{3 ^{2} + x ^{2}}) = 0.01117

cot(x)-sqrt(3)=csc(x)

cot (x) - 3 = csc (x)

cos (b) = 0.47

Frequently Asked Questions (FAQ)

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