SOLUTION: Find all angles x (in radians) that satisfy the equation sin(x)tan(x)+√3 sin(x)=0
Your answers should be formulas that look like x=angle + k*period where k=-2,-1,0,1,2,... ran
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Question 1183392: Find all angles x (in radians) that satisfy the equation sin(x)tan(x)+√3 sin(x)=0
Your answers should be formulas that look like x=angle + k*period where k=-2,-1,0,1,2,... ranges over the integers, 0<=angle
Note: decimal answers are not allowed, so, for example, if pi appears in your answer call it pi not 3.14159.
The solutions of the equation are: x = ? or x= ?
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
\tan(x)\,+\,\sqrt{3}\sin(x)\ =\ 0)
Factor the LHS:
\(\tan(x)\,+\,\sqrt{3}\)\ =\ 0)
Use the Zero Product Property: If 
then either 
or 
. Hence:
\ =\ 0)
or
\ +\ sqrt{3}\ =\ 0)
Use the unit circle to find the angles where \ =\ 0)
and \ =\ -\sqrt{3})
in the interval 
. Then add the appropriate periodicity so that all possible angles are represented.
John
My calculator said it, I believe it, that settles it
From
I > Ø
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