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anonymous
 one year ago
Find all solutions to the equation.
cos2x + 2 cos x + 1 = 0
anonymous
 one year ago
Find all solutions to the equation. cos2x + 2 cos x + 1 = 0

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1let cosx = x then deal with it as quadratic equation \[\huge\rm x^2 +2x +1 =0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it is like (x+1)(x+)1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the 1 should be on the parenthesis*

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right set it equal to zero

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1x = 1 so now we can change x to cos x cos x = 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is pi the only solution?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yep right or 1 has multiplicity of 2 bec cox = 1 , cosx = 1 are solution

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right cos x = 1 = pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Uhm do I have to put pi+2 pi n as the solution or just pi?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\pi + 2 \cancel =\pi \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know that haha, but base on my textbook, "Method for Solving Trigonometric Equations Unless the equation is factorable, use substitution to get just one trigonometric function. Solve the equation for the trigonometric function. Solve for the variable in a general window of +2pin for sine and cosine and +pin for tangent. Find the specific solutions in the given interval by replacing n with integers."

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So I'm kinda confused.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1It said to find all solutions. One solution is pi. Another solution is 3pi. Another solution is 5pi... We write that like this: \[x=\pi+2\pi n\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Mertsj That's what I'm talking about lol thank you for the help guys!

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1cool i didn't know this x = pi + 2pi n thingy
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