SOLUTION: Find all values of x in the interval [0, 2𝜋] that satisfy the equation. 4 sin(x) = 4 tan(x)

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of x in the interval [0, 2𝜋] that satisfy the equation. 4 sin(x) = 4 tan(x)       Log On


   

Question 1196622: Find all values of x in the interval [0, 2𝜋] that satisfy the equation.
4 sin(x) = 4 tan(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find all values of x in the interval [0, 2pi] that satisfy the equation.
4sin%28x%29+=+4tan%28x%29.....simplify
sin%28x%29+=+tan%28x%29.......use identity tan%28x%29=sin%28x%29%2Fcos%28x%29
+sin%28x%29+=++sin%28x%29%2Fcos%28x%29
cos%28x%29=++sin%28x%29%2Fsin%28x%29+
cos%28x%29=++1
x=cos%5E-1%281%29
x=0-> one solution
find more solutions from this graph:
cos-graph

so, in the interval [0, 2pi] we will have
x=0
x=pi
x=2pi