NetherisIsTheQueen
NetherisIsTheQueen NetherisIsTheQueen
  • 22-01-2019
  • Mathematics
contestada

What is the period of y=2cos(3x-2π)?

What is the period of y2cos3x2π class=

Respuesta :

gmany
gmany gmany
  • 22-01-2019

[tex]y=2\cos(3x-2\pi)\\\\\text{The period of a cosine is}\ 2\pi.\\\\P-period\\\\2\cos(3(x+P)-2\pi)=2\cos(3x-2\pi)\qquad\text{divide both sides by 2}\\\\\cos(3x+3P-2\pi)=\cos(3x-2\pi)\iff3x+3P-2\pi=3x-2\pi+2\pi\\\\3x+3P-2\pi=3x\qquad\text{subtract 3x from both sides}\\\\3P-2\pi=0\qquad\text{add}\ 2\pi\ \text{to both sides}\\\\3P=2\pi\qquad\text{divide both sides by 3}\\\\\boxed{P=\dfrac{2\pi}{3}}\\\\Answer:\ \boxed{D.\ \dfrac{2\pi}{3}}[/tex]

Answer Link

Otras preguntas

evaluate the social thought of racial differences​
please help me asapppp ty :)
Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular price. The limit is one deal per c
Help. How to solve this equation.
Chapter 4 ends with the image of someone laughing inside of the Radley house. What effect does this create for the reader? Explain, citing evidence from the tex
Please help!!! THE POPULATION OF NEW YORK STATE CAN BE MODELED BY:
i will report if you give any links or delete the answer. I need this answer desperately.
Best new Years ever 2020 to romie​
Please help me solve this math problem
Find area of the region under the curve y=9−3x^2 and above the x-axis.