How is this transition possible: e^u = \tan(\pi/4 + \theta/2) \

ngihlungeqtr

ngihlungeqtr

Answered question

2022-04-23

How is this transition possible:
eu=tan(π4+θ2)     given
{eu2eu2}=1+tan(θ2)1tan(θ2)

Answer & Explanation

Cristian Rosales

Cristian Rosales

Beginner2022-04-24Added 26 answers

You have:
eu2eu2=eu
and by usual trigonometry formulas:
tan(π4+θ)=tan(π4)+tan(θ)1tan(π4)tan(θ)
as tan(π4)=1 you obtain:
tan(π4+θ)=1+tan(θ)1tan(θ)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?