Question

solve it in copy fast.
Prove that

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

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

Then substitute the double angle formulae for the 2xs

= (cos^2(x) - sin^2(x))sin(x) + 2cos(x)sin(x)cos(x)

// factor out the sinx

= sin(x) (cos^2(x)-sin^2(x) + 2 cos^2(x))

=sin(x) (3cos^2(x) - sin^2(x))