What is the general solution for tan(x)=sqrt(2)-1 ?

The general solution for tan(x)=sqrt(2)-1 is x=0.39269…+pin

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tan(x)=sqrt(2)-1

tan (x) = 2 - 1

x = 0.39269 \dots + πn

Degrees

x = 22. 5^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 2 - 1

Apply trig inverse properties

tan (x) = 2 - 1

General solutions for

tan (x) = 2 - 1

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

x = arctan (2 - 1) + πn

x = arctan (2 - 1) + πn

Show solutions in decimal form

x = 0.39269 \dots + πn

5 + 3 cos (\frac{1}{2} x) = 7

cos^{2} (x) sin (x) = sin (x)

sin (2 x - 0.35) = cos (3 x)

2 cos^{2} (x) - 15 cos (x) + 7 = 0

sec (θ) = - \frac{5}{4}

What is the general solution for tan(x)=sqrt(2)-1 ?
The general solution for tan(x)=sqrt(2)-1 is x=0.39269…+pin