What is the general solution for tan(θ)=2,0<θ<(pi/2),sin(θ/2) ?

The general solution for tan(θ)=2,0<θ<(pi/2),sin(θ/2) is θ=1.10714…

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tan(θ)=2,0<θ<(pi/2),sin(θ/2)

tan (θ) = 2, 0 < θ < (\frac{π}{2}), sin (\frac{θ}{2})

θ = 1.10714 \dots

Degrees

θ = 63.43494 \dots^{\circ}

Solution steps

tan (θ) = 2, 0 < θ < \frac{π}{2}, sin (\frac{θ}{2})

Apply trig inverse properties

tan (θ) = 2

General solutions for

tan (θ) = 2

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

θ = arctan (2) + πn

θ = arctan (2) + πn

Solutions for the range

0 < θ < \frac{π}{2}

θ = arctan (2)

Show solutions in decimal form

θ = 1.10714 \dots

sinh (a) = \frac{1}{2}

sin (x) = \frac{- 1}{\frac{5}{2}}

2 csc^{2} (θ) - 3 cot (θ) + 3 = 0

\frac{2 sin ( x ) + 1}{cos ( x )} = 0

sin (x) = 0.03725

What is the general solution for tan(θ)=2,0<θ<(pi/2),sin(θ/2) ?
The general solution for tan(θ)=2,0<θ<(pi/2),sin(θ/2) is θ=1.10714…