js9mxvqcyy js9mxvqcyy
  • 09-05-2022
  • Mathematics
contestada

6 sin 2 ⁡ x + 4 cos 2 ⁡ x ≡ A + B cos 2 ⁡ x where A and B are integers. Work out the values of A and B .

Respuesta :

jdoe0001 jdoe0001
  • 09-05-2022

[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta) \\\\[-0.35em] ~\dotfill\\\\ 6sin^2(x)+4cos^2(x)\implies 6[~1-cos^2(x)~]+4cos^2(x) \\\\\\ 6-6cos^2(x)+4cos^2(x)\implies \stackrel{A}{6}~~ \stackrel{B}{-2}cos^2(x)[/tex]

Answer Link

Otras preguntas

Which addition sentences show you how to find 16-9?
What are the 6 traits of a scientist
23/138 as a unit fraction
Why did the Roman Empire produce more coins
Which is an accurate description of Vasco da Gama? A. named the tip of Africa the "Cape of Good Hope" B. claimed parts of South America for Portug
84/12=n what does n equal? Explain or show work
In which of the following is the danger of saltwater intrusion the greatest? A)water supplies near industrial areas B)underground water supplies in farming area
how do you round 160,656 to the nearest ten thousand
247x82 using an area model
What is a group of islands called?