What is the general solution for 2tan(A)-1=0 ?

The general solution for 2tan(A)-1=0 is A=0.46364…+pin

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2tan(A)-1=0

2 tan (A) - 1 = 0

A = 0.46364 \dots + πn

Degrees

A = 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

2 tan (A) - 1 = 0

Move

1

to the right side

2 tan (A) - 1 = 0

Add

1

to both sides

2 tan (A) - 1 + 1 = 0 + 1

Simplify

2 tan (A) = 1

2 tan (A) = 1

Divide both sides by

2

2 tan (A) = 1

Divide both sides by

2

\frac{2 tan ( A )}{2} = \frac{1}{2}

Simplify

tan (A) = \frac{1}{2}

tan (A) = \frac{1}{2}

Apply trig inverse properties

tan (A) = \frac{1}{2}

General solutions for

tan (A) = \frac{1}{2}

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

A = arctan (\frac{1}{2}) + πn

A = arctan (\frac{1}{2}) + πn

Show solutions in decimal form

A = 0.46364 \dots + πn

cos^{2} (t) + \frac{9}{49} = 1

4 tan (x) + cot (x) = 5

75 = arcsin (\frac{1.4}{x})

tan (2 x + 60) = 33

cos (\frac{π}{3} + x) = sin (3 0^{\circ} - x)

What is the general solution for 2tan(A)-1=0 ?
The general solution for 2tan(A)-1=0 is A=0.46364…+pin