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

The general solution for tan(x)=(sqrt(2))/2 is x=0.61547…+pin

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tan(x)=(sqrt(2))/2

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

x = 0.61547 \dots + πn

Degrees

x = 35.26438 \dots^{\circ} + 18 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{2}{2}) + πn

x = arctan (\frac{2}{2}) + πn

Show solutions in decimal form

x = 0.61547 \dots + πn

4 cos (2 x) - 3 = 0

sin^{2} (x) + 1 = 0

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

sin (2 x - \frac{π}{2}) = - 1

3 tan^{2} (2 x) = 1

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