If tan &#x2061;<!-- ⁡ --> ( 22 1 2 </mfr

aligass2004yi

aligass2004yi

Answered question

2022-06-25

If tan ( 22 1 2 ) = 2 1, then prove that tan ( 11 1 4 ) = 4 + 2 2 2 1

Answer & Explanation

Eli Shaffer

Eli Shaffer

Beginner2022-06-26Added 16 answers

tan ( 2 x ) = sin ( 2 x ) cos ( 2 x ) = 2 sin x cos x cos 2 x sin 2 x = 2 tan x 1 tan 2 x
Kyla Ayers

Kyla Ayers

Beginner2022-06-27Added 8 answers

Hint:
tan 2 α = 2 tan α 1 tan 2 α
Let α = 11 1 4 and tan α = x, then
2 1 = 2 x 1 x 2
x = . . .

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?