Why Can't I Solve This Simple Trig Equation?

  • Thread starter RadiationX
  • Start date
In summary, the conversation is about someone seeking help with solving a simple trigonometry equation. They need to solve the equation 1 + cos(θ) = 2sin(θ) in order to solve another problem, but for some reason, they are struggling to figure it out. They are asking for ideas and advice, and mention that the assignment is due in the morning. The suggested steps to solve the equation are to square both sides, substitute for sin(2θ), substitute x = cos(θ), solve the resulting quadratic equation, determine all possible solutions for θ, and finally check each solution with the original equation.
  • #1
RadiationX
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for some reason i can't figure out how to solve this very simple trig equation.
[tex]1 + \cos{\theta} = 2\sin{\theta}[/tex] i need this so that i can solve something else. ANY IDEAS WOULD HELP ME OUT.

normally i can solve things like this but for some reason tonight i can't see what to do. to make matters worse this is due in the morning at 9am!
 
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  • #2
RadiationX said:
for some reason i can't figure out how to solve this very simple trig equation.
[tex]1 + \cos{\theta} = 2\sin{\theta}[/tex] i need this so that i can solve something else. ANY IDEAS WOULD HELP ME OUT.

normally i can solve things like this but for some reason tonight i can't see what to do. to make matters worse this is due in the morning at 9am!
a) Square both sides.
b) Sub {1 - cos2(θ)} for sin2(θ).
c) Sub {x = cos(θ)}.
d) Solve quadratic.
e) Determine all candidate "θ" solutions.
f) CHECK EACH candidate "θ" solution with ORIGINAL EQUATION.


~~
 
  • #3


I'm sorry to hear that you are having trouble with this trig equation. It can be frustrating when we encounter difficulties in solving problems, especially when there is a deadline looming. Have you tried breaking down the equation into smaller parts and using identities or properties of trigonometric functions to simplify it? Additionally, have you checked your calculations and made sure you are using the correct formulas? Sometimes a simple mistake can lead to a lot of confusion. If you are still stuck, perhaps reaching out to a classmate or your professor for help might be beneficial. Don't be afraid to ask for assistance, as it shows determination and a willingness to learn. I wish you the best of luck in solving this equation and completing your assignment on time. Keep pushing forward and don't give up!
 

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