Understanding Trigonometric Graphs for the ACT

Why is it important to understand trigonometric graphs for the ACT?

• They are only tested in the science section.

• They are not relevant to the ACT.

• They are the only topic in the math section.

• They are frequently tested in the math section.

What is the period of a standard sine or cosine graph?

• π/2

• 4π

• 2π

• π

How does the sine graph start on the unit circle?

• At 0

• At π

• At 1

• At -1

What is the primary focus when recognizing a tangent graph for the ACT?

• Its general shape

• Its period

• Its amplitude

• Its starting point

What happens to the amplitude of a sine graph when the coefficient is greater than 1?

• The graph's shape becomes a straight line.

• The graph becomes taller.

• The graph's period changes.

• The graph becomes shorter.

If the coefficient in front of sine is less than 1, what happens to the graph?

• The amplitude increases.

• The amplitude decreases.

• The period increases.

• The period decreases.

How does the period of a sine graph change when the coefficient of x is 2?

• The period becomes 4π.

• The period becomes π.

• The period remains unchanged.

• The period becomes 2π.

What is the effect on the period of a sine graph when the coefficient of x is less than 1?

• The period decreases.

• The period remains the same.

• The graph becomes a straight line.

• The period increases.

What is the formula for the period of a sine or cosine graph with a coefficient B in front of x?

• 2π/B

• B/2π

• B/π

• 2πB

If the coefficient of x in a sine graph is 1/2, what is the new period?

• 2π

• π/2

• 4π

• π