SOLUTION: Solve the following equation: sin(x)-2cos(x)=0. 0<x<360. Please show your work.

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the following equation: sin(x)-2cos(x)=0. 0<x<360. Please show your work.      Log On


   

Question 1062529: Solve the following equation: sin(x)-2cos(x)=0. 0
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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sin(x)-2cos(x)=0. --->  sin(x) = 2cos(x)  --->  (divide both sides by cos(x))  --->  

tan(x) = 2  --->  x = arctan(2) OR  x = arctan(2) + pi.

To find arctan(2), use your calculator or your computer, or trigonometric tables, or the Internet.