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

Question 1159427: Determine all the values where sinx=√3 cosx for 0^0 ≤x ≤360°. I need steps please
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
.


You start from  

    sin(x) = .


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

    tan(x) = .


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.

RELATED QUESTIONS
Determine all the values where sinx=√3 cosx for 0^0 ≤x... (answered by greenestamps,MowMow)

i)- Solve the following equations for 0� < x < 360�. a) 2sinx cosx = 3 sinx b) (answered by Fombitz)

Determine all the values where -3sinx=√3 cosx for 0 degrees less than an equal to x... (answered by ikleyn)

please help me solve this 1. prove the identity sinx/1-cosx =1/tanx 2. hence solve... (answered by Alan3354)

I need help finding the solutions for this question. Find all solutions in the interval... (answered by lwsshak3)

3 sinx - 7= 5 sinx -6 when 0 is less than or equal to x is less than or equal to 360. I... (answered by ikleyn)

Solve for x: cosx=-1/2 where x is betweeen 0 and 360... (answered by ikleyn)

Please help me solve this question:If y=3cosx - sinx,find the values of x (0 <=x <... (answered by stanbon)

how do i solve the following equation for values of x in the range 0 degrees < x <360... (answered by Edwin McCravy)