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

The general solution for sqrt(2)sin(x)=cos(x) is x=0.61547…+pin

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

2 sin (x) = cos (x)

x = 0.61547 \dots + πn

Solution steps

2 sin (x) = cos (x)

Rewrite using trig identities

2 tan (x) = 1

Divide both sides by

2

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

Apply trig inverse properties

x = arctan (\frac{2}{2}) + πn

Show solutions in decimal form

x = 0.61547 \dots + πn

8 cos (2 x) = 8 - 8 cos (2 x)

- (2) cos (10 t) = (6) sin (10 t)

cot (x) = \frac{1}{4}

tan (x) = 0, 0 < x < 2 π

x, sin (x) + cos (y) = 2 y

What is the general solution for sqrt(2)sin(x)=cos(x) ?
The general solution for sqrt(2)sin(x)=cos(x) is x=0.61547…+pin