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

the distance of a point P(x, y) from the origin O(0, 0) is given by OP=__

You measure the mass of an unknown piece of metal to be 325 grams. The volume of the metal is measured to be 16.8 cm3. What is the density of the piece of metal

symbolism in the poem refugee blues by w.h auden

A block of mass 2 kg starts from rest at the top of a friction quarter of a circle of radius R. The block then slides over frictionless curved surface in the sh

PLZ HELP- I NEED HELP IM A LIL SLOW

give a brief description ofefforts for getting a separate homeland ""Pakistan"" for the Muslims of India.

? Question Drag each tile to the correct box. Arrange the events in the correct order. Tiles Sequence 1.Smallpox spread throughout the Inca Empire. 2.A civil wa

Who innovated an aeroplane?

Which of the following was a well known abolitionist? A. Sullivan Ballou B. Wendell Phillips C. Jefferson Davis D. Abraham Lincoln

To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2° and C = 18.3°. Find AB.