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

The general solution for 2sin(x)cos(x)=(sqrt(2))/2 is x= pi/8+pin,x=(3pi)/8+pin

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

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

x = \frac{π}{8} + πn, x = \frac{3 π}{8} + πn

Solution steps

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

Rewrite using trig identities

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

General solutions for

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

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

Solve

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

Solve

2 x = \frac{3 π}{4} + 2 πn : x = \frac{3 π}{8} + πn

x = \frac{π}{8} + πn, x = \frac{3 π}{8} + πn

arctan (x) = 90

cos (5 θ) - cos (7 θ) = 0

sin (x - \frac{π}{3}) = \frac{2}{2}

5 cos (a) + 4 = 0

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

What is the general solution for 2sin(x)cos(x)=(sqrt(2))/2 ?
The general solution for 2sin(x)cos(x)=(sqrt(2))/2 is x= pi/8+pin,x=(3pi)/8+pin