What is the general solution for cos^2(x)-sin^2(x)=(sqrt(2))/2 ?

The general solution for cos^2(x)-sin^2(x)=(sqrt(2))/2 is x= pi/8+pin,x=(7pi)/8+pin

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cos^2(x)-sin^2(x)=(sqrt(2))/2

cos^{2} (x) - sin^{2} (x) = \frac{2}{2}

x = \frac{π}{8} + πn, x = \frac{7 π}{8} + πn

Solution steps

cos^{2} (x) - sin^{2} (x) = \frac{2}{2}

Rewrite using trig identities

cos (2 x) = \frac{2}{2}

General solutions for

cos (2 x) = \frac{2}{2}

2 x = \frac{π}{4} + 2 πn, 2 x = \frac{7 π}{4} + 2 πn

Solve

2 x = \frac{π}{4} + 2 πn : x = \frac{π}{8} + πn

Solve

2 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{8} + πn

x = \frac{π}{8} + πn, x = \frac{7 π}{8} + πn

4 cos (2 θ) + 3 cos (θ) + 4 = - 3 cos (θ) - 1

cos (θ - \frac{π}{4}) - 1 = 0

x, - sin (x) = 0

2 sec^{2} (x) tan (x) = 0

2 sin^{2} (x) - 5 sin (x) = - 2

What is the general solution for cos^2(x)-sin^2(x)=(sqrt(2))/2 ?
The general solution for cos^2(x)-sin^2(x)=(sqrt(2))/2 is x= pi/8+pin,x=(7pi)/8+pin