Answer:
x = 0.343
Step-by-step explanation:
We want to solve:
5 - 3tan(3x) = 0
such that:
-π< x < π
where π = 3.14
then:
-3.14 < x < 3.14
Let's solve the equation:
5 - 3tan(3x) = 0
-3tan(3x) = -5
tan(3x) = -5/-3 = 5/3
Now we can use the inverse tan function, Atan(x).
Remember that:
Atan( tan(x) ) = tan( Atan(x)) = x
Then if we apply that function to both sides, we get:
Atan( tan(3x)) = Atan(5/3)
3x = Atan(5/3)
x = Atan(5/3)/3 = 0.343
