What is the general solution for tan(A/2)=sqrt(0.62) ?

The general solution for tan(A/2)=sqrt(0.62) is A=2*0.66701…+2pin

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tan(A/2)=sqrt(0.62)

tan (\frac{A}{2}) = 0.62

A = 2 \cdot 0.66701 \dots + 2 πn

Degrees

A = 76.43384 \dots^{\circ} + 36 0^{\circ} n

Solution steps

tan (\frac{A}{2}) = 0.62

Apply trig inverse properties

tan (\frac{A}{2}) = 0.62

General solutions for

tan (\frac{A}{2}) = 0.62

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

\frac{A}{2} = arctan (0.62) + πn

\frac{A}{2} = arctan (0.62) + πn

Solve

\frac{A}{2} = arctan (0.62) + πn : A = 2 arctan (0.62) + 2 πn

\frac{A}{2} = arctan (0.62) + πn

Multiply both sides by

2

\frac{A}{2} = arctan (0.62) + πn

Multiply both sides by

2

\frac{2 A}{2} = 2 arctan (0.62) + 2 πn

Simplify

A = 2 arctan (0.62) + 2 πn

A = 2 arctan (0.62) + 2 πn

A = 2 arctan (0.62) + 2 πn

Show solutions in decimal form

A = 2 \cdot 0.66701 \dots + 2 πn

2 sin (θ) - 1 = 0, (0, 2 π)

a, r = cos (2 a)

cos (2 t) + cos (t) = 0

\frac{π}{6} = sin (3 x)

tan (x) = 3 tan (\frac{1}{2} x)

What is the general solution for tan(A/2)=sqrt(0.62) ?
The general solution for tan(A/2)=sqrt(0.62) is A=2*0.66701…+2pin