Finding tanx from 24 sin &#x2061;<!-- ⁡ --> x cos &#x2061;<!-- ⁡ --> x &#x2

Rocatiwb

Rocatiwb

Answered question

2022-05-27

Finding tanx from 24 sin x cos x 5 = 14 cos 2 ( x )

Answer & Explanation

1c2ru3x

1c2ru3x

Beginner2022-05-28Added 9 answers

Divide both sides by cos 2 x to get
24 tan x 5 sec 2 x = 14
Then use sec 2 x = tan 2 x + 1 to get
5 tan 2 x 24 tan x + 19 = 0
Andy Erickson

Andy Erickson

Beginner2022-05-29Added 3 answers

Dividing the given equation by cos 2 x we get
24 tan x 5 sec 2 x = 14
Which is equivalent to
5 tan 2 x 24 tan x + 19 = 0 ( 5 tan x 19 ) ( tan x 1 ) = 0
So
tan x = 19 5 or tan x = 1

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