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

Algebra ->  Trigonometry-basics -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!




Factor the LHS:



Use the Zero Product Property: If then either or . Hence:



or



Use the unit circle to find the angles where and 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

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I > Ø