Solving an example with imaginary units. \theta=\arctan(\sqrt{3}+2) \theta=75^\circ=5\pi/12

Umaiza Hutton 2022-02-25 Answered
Solving an example with imaginary units.
θ=arctan(3+2)
θ=75=5π12
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Expert Answer

Ollie Castillo
Answered 2022-02-26 Author has 5 answers
We will use the half-angle formula for tangent:
tanθ2=1cos(θ)sin(θ)
We want to get 2+3. Remembering the basic values of sine and cosine, I see that
2+3=1+3212=1cos5π6sin5π6=tan5π12
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