What is the general solution for 4tan(A)=2tan(A)-sqrt(2) ?

The general solution for 4tan(A)=2tan(A)-sqrt(2) is A=-0.61547…+pin

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4tan(A)=2tan(A)-sqrt(2)

4 tan (A) = 2 tan (A) - 2

A = - 0.61547 \dots + πn

Solution steps

4 tan (A) = 2 tan (A) - 2

Solve by substitution

tan (A) = - \frac{2}{2}

tan (A) = - \frac{2}{2} : A = arctan (- \frac{2}{2}) + πn

Combine all the solutions

A = arctan (- \frac{2}{2}) + πn

Show solutions in decimal form

A = - 0.61547 \dots + πn

2 sin (θ) = tan (θ)

sec (θ) = - 2.5

cos (4 x) = 0, 0 \leq x \leq 2 π

\frac{csc ( x )}{cot ( x )} = csc (x) sec (x)

sin (θ) = \frac{1}{3}

What is the general solution for 4tan(A)=2tan(A)-sqrt(2) ?
The general solution for 4tan(A)=2tan(A)-sqrt(2) is A=-0.61547…+pin