Solve the trignometric equation 2 sin &#x2061;<!-- ⁡ --> ( 3 x + &#x03C0;<!

taghdh9

taghdh9

Answered question

2022-06-09

Solve the trignometric equation 2 sin ( 3 x + π / 4 ) = 1 + 8 sin 2 x cos 2 x

Answer & Explanation

gaiageoucm5p

gaiageoucm5p

Beginner2022-06-10Added 20 answers

HINT:
First of all,
2 sin ( 3 x + π 4 ) = 1 + 8 sin 2 x cos 2 2 x 0
So, 3 x + π 4 must lie [ 0 , π ] ( mod 2 π )
Now use Werner Formulas,
2 sin 4 x cos 2 x = sin 6 x + sin 2 x

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