how to evaluate tan &#x2061;<!-- ⁡ -->

pablos28spainzd

pablos28spainzd

Answered question

2022-07-13

how to evaluate tan x cot x = 2

Answer & Explanation

Zackery Harvey

Zackery Harvey

Beginner2022-07-14Added 21 answers

tan x cot x = 2
sin x cos x cos x sin x = 2
sin 2 x cos 2 x sin x cos x = 2
cos 2 x = 2 sin x cos x
cos 2 x = sin 2 x
tan 2 x = 1
2 x = n π π 4
Put n values to get values of x in required range .
slijmigrd

slijmigrd

Beginner2022-07-15Added 4 answers

We then can solve the quadratic equation thus getting
tan x = 2 ± 4 4 ( 1 ) ( 1 ) 2 = 2 ± 2 2 2 = 1 ± 2
Thus
x = arctan ( 1 ± 2 )
Hope it helps.

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?