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

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

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2tan(x)=sqrt(2)

2 tan (x) = 2

x = 0.61547 \dots + πn

Solution steps

2 tan (x) = 2

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

0.5 = cos (\frac{π}{6} x)

cos^{2} (x) = \frac{π}{4}

cot^{2} (θ) + csc (θ) = 1, 0 \leq θ < 2 π

tan (x) = \frac{sec ( x )}{cos ( x )}

sin (x) = - 0.707

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