Question
Find the period f(x)=-tan(1/6(x+pi/5))
Answers
GPT 3.5
The period of a tangent function is π, as the tangent function repeats itself after every π radians.
The given function is f(x) = -tan((1/6)(x + π/5)).
To find the period, we need to find the value of x that makes (1/6)(x + π/5) equal to π.
Set (1/6)(x + π/5) = π.
Solving for x:
Multiply both sides by 6:
x + π/5 = 6π.
Subtract π/5 from both sides:
x = 6π - π/5.
The period of the function is 6π - π/5.
The given function is f(x) = -tan((1/6)(x + π/5)).
To find the period, we need to find the value of x that makes (1/6)(x + π/5) equal to π.
Set (1/6)(x + π/5) = π.
Solving for x:
Multiply both sides by 6:
x + π/5 = 6π.
Subtract π/5 from both sides:
x = 6π - π/5.
The period of the function is 6π - π/5.