Write 4 sin (3x) cos (2x) as a sum or difference

Question

Mathematics

Annabel Flowers

7 February, 12:18

Write 4 sin (3x) cos (2x) as a sum or difference

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Answers (1)

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Piper Sanchez · Answer 1

2sin (x) + 2sin (5x)

Step-by-step explanation:

4sin (x) cos (2x)

=4sin (2x+x) cos (x+x) = 4[sin (2x) cos (x) + cos (2x) sin (x) ]

= 4sin (2x) cos (x) + 4sin (x) cos (2x)

= 4sin (x+x) cos (x) + 4sin (x) cos (x+x)

= 2sin (x) + 2sin (5x)