3 years ago

Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle Identities.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

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