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

Drag and drop the correct effects of the Reformation and Counter-Reformation on Europe. Effects may be used once, more than once, or not at all. 1. Protestant s
Which disorder is created as a result of the final chromosomal change that is shown
What is the completely factored form of x^4+8^2-9?
Alison is having a hard time at work because her Inbox is flooded with emails every day. Some of these emails are unsolicited. Some of the others she doesn’t ne
Albert Einstein published his first paper at the age of _____.
Help please & thank u!
What impact did President Hoover’s philosophy of government have on the economy? (P. 684)
A sample of glucose ( C6H12O6 ) of mass 8.44 grams is dissolved in 2.11 kg water. What is the freezing point of this solution? The freezing point depression con
what is the simplest form of the expression 6x(x-4)-16x^2-(9x-1)?​
Emily had 75 buttons. She gave 15 buttons to Jake. What percent of the buttons did Emily give to Jake?