Trigonometric equation 8 cos 3 </msup> &#x2061;<!-- ⁡ --> ( x )

Winigefx

Winigefx

Answered question

2022-06-15

Trigonometric equation 8 cos 3 ( x ) 14 cos 2 ( x ) sin ( x ) + 5 cos ( x ) sin 2 ( x ) = 0

Answer & Explanation

Bornejecbo

Bornejecbo

Beginner2022-06-16Added 19 answers

Hint:
cos ( x ) ( 8 cos 2 ( x ) 14 cos ( x ) sin ( x ) + 5 sin 2 ( x ) ) = 0
cos ( x ) ( 2 cos x sin x ) ( 4 cos x 5 sin x ) = 0
Carolyn Beck

Carolyn Beck

Beginner2022-06-17Added 8 answers

8 cos 3 ( x ) 14 cos 2 ( x ) sin ( x ) + 5 cos ( x ) sin 2 ( x ) = 0 cos ( x ) ( 8 cos 2 ( x ) 14 cos ( x ) sin ( x ) + 5 sin 2 ( x ) ) = 0 cos ( x ) = 0 , 8 cos 2 ( x ) 14 cos ( x ) sin ( x ) + 5 sin 2 ( x ) = 0 x 1 = π 2 + 2 k π , k   Z , 5 tan 2 ( x ) 14 tan ( x ) + 8 = 0 ( 5 tan ( x ) 4 ) ( tan ( x ) 2 ) = 0 tan ( x ) = 5 4 , tan ( x ) = 2 x 2 = arctan 5 4 + k π , x 3 = arctan 2 + k π , k Z

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?