Solve the following equation: <mtable columnalign="right left right left right left right left r

Erin Lozano

Erin Lozano

Answered question

2022-06-24

Solve the following equation: sin 14 x + cos 14 x = 169 64 cos 6 2 x

Answer & Explanation

Paxton James

Paxton James

Beginner2022-06-25Added 25 answers

2 sin 2 x = 1 cos 2 x 2 cos 2 x = 1 + cos 2 x 128 ( sin 14 x + cos 14 x ) = ( 1 cos 2 x ) 7 + ( 1 + cos 2 x ) 7 = 2 ( 1 + 21 cos 2 2 x + 35 cos 4 2 x + 7 cos 6 2 x ) 169 cos 6 2 x = 1 + 21 cos 2 2 x + 35 cos 4 2 x + 7 cos 6 2 x 0 = 162 cos 6 2 x 35 cos 4 2 x 21 cos 2 2 x 1 0 = ( 2 cos 2 2 x 1 ) ( 81 cos 4 2 x + 23 cos 2 2 x + 1 ) cos 2 2 x = 1 2 or 23 ± 23 2 4 ( 81 ) 2 ( 81 ) < 0

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?