SOLUTION: Determine all the values where sinx=√3 cosx for 0^0 ≤x ≤360°. I need steps please

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Question 1159427: Determine all the values where sinx=√3 cosx for 0^0 ≤x ≤360°. I need steps please
Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
.

You start from  

    sin(x) = sqrt%283%29%2Ac0s%28x%29.


You divide both sides by cos(x) and obtain equivalent equation

    tan(x) = sqrt%283%29.


In the interval  0 <= x <= 360°,  this equation has two and only two solutions

    x = 60°  and  x = 240°.      ANSWER

Solved, answered, explained (with the steps), and completed.