priscila1488 priscila1488
  • 04-06-2019
  • Mathematics
contestada

Find exact solutions of
[tex] \cos(2x + \sqrt{3 } ) = - \cos(2x) [/tex]
for
[tex]0 \leqslant x \leqslant 4\pi[/tex]
​

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 04-06-2019

Answer:

Step-by-step explanation:

cos(2x+√3)+cos 2x=0

2 cos (2x+√3+2x)/2 cos (2x+√3-2x)/2=0

or cos(2x+√3/2) cos √3/2=0

or cos (2x+√3/2)=0=cos (2n+1)π/2

or 2x+√3/2=(2n+1)π/2

or x=(2n+1)π/4+√3/4

x=π/4+√3/4=(π+√3)/4,(3π+√3)/4,(5π+√3)4,(7π+√3)/4,(9π+√3)/4,(11π+√3)/4,(13π+√3)/4,(15π+√3)/4

(4π=4×3.14=12.56 nearly)

or

Answer Link

Otras preguntas

What was the major purpose of the Truman Doctrine?
What's the term for: unwilling to bend; unyielding
what we need to become success
which designer started as a fashion illustrator before focusing on industrial design?
How did Niccolo Machiavelli’s book The Prince set him apart from other writers of the Renaissance?
write in decimal form fourteen and eighty-Four hundredths
Amy raised £n for charity. Chris raised £18 more then any. The mean amount raised by the two of them is £45. Work out how much money each one of them raised
What's the word for wandering about; tending to move around, travel
Heat is released when H2 gas and O2 gas react to form H2O. Why? A. Breaking the H–H bond in H2 gas releases heat. B. Breaking the O–O bond in O2 gas releases he
explain why the motion of a body which is moving with constant speed in a circular path is said to be accelerated ?