SOLUTION: Find all solutions of the given trigonometric equation if θ represents an angle measured in degrees. 9(squareroot of 3) sin θ = 9 cos θ

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Question 963195: Find all solutions of the given trigonometric equation if θ represents an angle measured in degrees.
9(squareroot of 3) sin θ = 9 cos θ
Answer by Edwin McCravy(20062)   (Show Source): You can put this solution on YOUR website!
Find all solutions of the given trigonometric equation if θ represents an angle measured in degrees.


Divide both sides by 9



Divide both sides by 



Use the identity 

{{sqrt(3)}}}

Since cot(30°) = √3

The basic solution is 30°.

The cotangent is positive in the 1st and 3rd, so 30°+180° = 210°
is also a solution:

Solutions between 0° and 360° are 30° and 210° 

All solutions are given by 30°+180°n where n is any integer.

Edwin
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