What is the general solution for 2arctan(xe^{0/2})= pi/2 ?

The general solution for 2arctan(xe^{0/2})= pi/2 is x=1

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2arctan(xe^{0/2})= pi/2

2 arctan (x e^{\frac{0}{2}}) = \frac{π}{2}

x = 1

Solution steps

2 arctan (x e^{\frac{0}{2}}) = \frac{π}{2}

Divide both sides by

2

arctan (x e^{\frac{0}{2}}) = \frac{π}{4}

Apply trig inverse properties

x e^{\frac{0}{2}} = 1

Solve

x e^{\frac{0}{2}} = 1 : x = 1

x = 1

2 sin (x) cos (x) - 2 cos (x) = 0

x, 2 cos (x) - 2 = 0

cos (θ) = - \frac{4}{3}

cos (x) = \frac{2.16}{3.42}

2 cos^{2} (θ) - 3 sin (θ) - 3 = 0

What is the general solution for 2arctan(xe^{0/2})= pi/2 ?
The general solution for 2arctan(xe^{0/2})= pi/2 is x=1