# Finding all solutions to the trig equation

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• Dec 11th 2010, 09:52 PM
micbal9388
Finding all solutions to the trig equation
I'm having trouble solving this problem. Any help is much appreciated.

$4sin^2(theta)+2(1-sqrt(3))(sin(theta))-sqrt(3)$
• Dec 11th 2010, 10:00 PM
TheCoffeeMachine
All the solutions when the expression is equal to zero, should we assume? :confused:
Quote:

Originally Posted by micbal9388
$4\sin^2{\theta}+2(1-\sqrt{3})\sin{\theta}-\sqrt{3}$

$4\sin^2{\theta}+2(1-\sqrt{3})\sin{\theta}-\sqrt{3} = 0 \Rightarrow \left(2\sin{\theta+1}\right)\left(2\sin{\theta}-\sqrt{3}\right) = 0 \Rightarrow ...$