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

If the horizontal range and the max height of a body projected at an angle titre to the horizontal is K and Q respectively. Show that the muzzle velocity Vo is
Combine sentences, using clause or phrase of reason: It's raining, so we stay at home.
Ms. Jones has 108 inches of wood. It takes 18 3/8inches to make a picture frame. How many picture frames can she make?
The square root of the product of two positive numbers is called their geometric mean. What is the geometric mean of 16 and 64?
what should we do to protect nature ?make a list of at least five suggestion​
What happens when people go out in the sun in summer to tan for several hours a day without using any sunscreen?
2(3+ ‐ 4)(7‐3)÷(2‐ ‐2)​
who will give my answer I will mark them as brainliest​
a submarine is 50 meters below sea level. It goes up 15 meters and down 40 meters. What is the submarines new position relative to sea level
I'm under the water on this problem, please help me:question: f(x)=10x−3answer choices:A. f(−5)B. f(0)C. f(7)D. f(t^2+2)E. f(12−x)F. f(x+h)