geraldjones889 geraldjones889
  • 11-08-2021
  • Mathematics
contestada

prove (sinxsiny-cosxcosy)(sinxsiny+cosxcosy) =sin^2x-cos^2y

Respuesta :

Trancescient
Trancescient Trancescient
  • 11-08-2021

Step-by-step explanation:

Recall that [tex]\sin^2x + \cos^2x = 1[/tex]

[tex](\sin x \sin y - \cos x \cos y)(\sin x \sin y + \cos x \cos y)[/tex]

[tex]= \sin^2 x \sin^2 y - \cos^2 x \cos^2 y[/tex]

[tex]= \sin^2 x (1 - \cos^2 y) - \cos^2 x \cos^2 y[/tex]

[tex]= \sin^2 x - \sin^2 x \cos^2y - \cos^2x \cos^2y[/tex]

[tex]= \sin^2x - (\sin^2x + \cos^2x)\cos^2y[/tex]

[tex]= \sin^2x - \cos^2y[/tex]

Answer Link

Otras preguntas

translate he cannot find his ticket into Spanish
How one culture contributed to modern science
which measurement would be least likely to be written in scientific notation :the thickness of a dog hair, the radius of a period on this page ,the ounces in a
why did the colonists care about representation?
(5+4i)(17-13i)-(5+3i)(17-13i)
At camp, Miriam uses a pottery wheel to make three bowls in 2 hours. Duane makes five in 3 hours. who makes bowls faster, Miriam or Duane
solve for w s=w-10e ------- m
What was the Glass-Steagall Act?
plumber and his assistant work together to replace the pipes in an old house . the plumber charges $45 per hour for his own work and $25 for his assistant's la
an equilateral triangle an a square have the same perimeter.Each side of the square measures 6cM.What is the length of each side of the triangles