What is the period of tangent and cotangent

The video tutorial explains how to find the period of tangent and cotangent functions, highlighting the differences from sine and cosine. It uses the unit circle to demonstrate the calculation of tangent at specific angles and explains why the period of tangent and cotangent is π, unlike the 2π period of sine and cosine. The tutorial also covers the general formula for tangent and cotangent functions, showing how transformations affect the period, specifically focusing on the coefficient B in the formula.

What is the period of the tangent function compared to sine and cosine?

• 2π

• π

• π/2

• 3π

Why does the tangent function repeat itself after π?

• Because it reaches the same value as at π/6

• Because it completes a full circle

• Because it has the same value at π and 7π/6

• Because it is a linear function

What is the period of the cotangent function?

• π/2

• 3π

• 2π

• π

How does the coefficient B in the formula y = d + a tan(Bx - C) affect the period of the tangent function?

• It has no effect on the period

• It doubles the period

• It halves the period

• It changes the period to π/B

What is the period of the tangent function when B = 1 in the formula y = d + a tan(Bx - C)?

• B

• π

• π/2

• 2π