MelodieLaborn544
MelodieLaborn544 MelodieLaborn544
  • 04-09-2014
  • Mathematics
contestada

Derive identity sin(3x) = 3 sinx−4 sin³x

Respuesta :

Аноним Аноним
  • 04-09-2014
[tex]sin3x=3sinx-4sin^3x\\\\L=sin(2x+x)=sin2xcosx+sinxcos2x\\\\=2sinxcosxcosx+sinx(cos^2x-sin^2x)\\\\=2sinxcos^2x+sinxcos^2x-sin^3x\\\\=3sinxcos^2x-sin^3x\\\\=3sinx(1-sin^2x)-sin^3x\\\\=3sinx-3sin^3x-sin^3x\\\\=3sinx-4sin^3x=R[/tex]
Answer Link

Otras preguntas

I am a polyhedron. I am a prism. my two bases are hexagon. my two other faces are rectangles.
what derived unit is usually used to express the density of liquids?
WHICH EXPRESSION IS EQUIVALENT TO SIN 22 COS 18 + COS 22 SIN 18?
I am a polyhedron. I am a prism. my two bases are hexagon. my two other faces are rectangles.
What military strategy defeated cornwallis at yorktown?
A person sees a ball and kicks it, in part because of actions of the nervous system. Using the parts of the nervous system listed bellow, describe the path of n
in what way is a gene pool representative of a population
which of the following organisms feeds on the largest variety of producers
what derived unit is usually used to express the density of liquids?
A car salesperson earns 1.5% commission on every car sold. The salesperson sell a car for $22,500. What is the commission?