What is the general solution for 2/5 cos(x)=(sqrt(2))/5 ?

The general solution for 2/5 cos(x)=(sqrt(2))/5 is x= pi/4+2pin,x=(7pi)/4+2pin

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2/5 cos(x)=(sqrt(2))/5

\frac{2}{5} cos (x) = \frac{2}{5}

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

Solution steps

\frac{2}{5} cos (x) = \frac{2}{5}

Multiply both sides by

5

2 cos (x) = 2

Divide both sides by

2

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

General solutions for

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

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

sin^{2} (x) = 6 (cos (- x) + 1)

2 sin (θ) = 3 cos (θ)

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

sin (θ) = - \frac{7}{25}, cos (\frac{θ}{2}), 27 0^{\circ} < θ < 36 0^{\circ}

tan (x) + sin (x) = \frac{( sin ( x ) + 1 )}{cos ( x )}

What is the general solution for 2/5 cos(x)=(sqrt(2))/5 ?
The general solution for 2/5 cos(x)=(sqrt(2))/5 is x= pi/4+2pin,x=(7pi)/4+2pin