SOLUTION: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. (cos(x)

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Question 183068This question is from textbook
: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible.
(cos(x) - 1) sin(x) = 0
Any help is greatly appreciated! I am really struggling just to start these problems. I received 0 + 2Pi as an answer for this but the system said it was wrong. This question is from textbook

Found 2 solutions by stanbon, user_dude2008:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
(cos(x) - 1) sin(x) = 0
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You are given the factors. One of them must be zero since the product is zero.
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cos(x)-1 = 0 or sin(x) = 0
cos(x) = 1 or sin(x) = 0
x = pi/2 or (3/2)pi or x = 0 or pi
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Cheers,
Stan H.

Answer by user_dude2008(1862) (Show Source):
You can put this solution on YOUR website!
Last post is incorrect. pi/2 and (3/2)pi is not a solution

Solutions are 0, 2pi, etc..

So solution set is x = 2pi*n where n is an integer

Note: I checked answer with calculator

SOLUTION: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. (cos(x) - 1)