What is the general solution for tan(x)-sqrt(1-2tan^2(x))=0 ?

The general solution for tan(x)-sqrt(1-2tan^2(x))=0 is x=0.52359…+pin

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tan(x)-sqrt(1-2tan^2(x))=0

tan (x) - 1 - 2 tan^{2} (x) = 0

x = 0.52359 \dots + πn

Solution steps

tan (x) - 1 - 2 tan^{2} (x) = 0

Solve by substitution

tan (x) = \frac{1}{3}

tan (x) = \frac{1}{3} : x = arctan (\frac{1}{3}) + πn

Combine all the solutions

x = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

x = 0.52359 \dots + πn

cos (θ) = - \frac{2}{5}, tan (2 θ)

sin (x + \frac{π}{6}) = \frac{2}{2}

\frac{1}{2} = cos (x)

2 sin (4 x) = sin (2 x)

csc (x) sec (x) = 22

What is the general solution for tan(x)-sqrt(1-2tan^2(x))=0 ?
The general solution for tan(x)-sqrt(1-2tan^2(x))=0 is x=0.52359…+pin