Find Period, Amplitude and Translations of Trigonometric Graphs

The video tutorial covers the basics of trigonometric functions, including sine, cosine, cosecant, secant, tangent, and cotangent. It explains how to calculate amplitude and period for these functions, with specific formulas for sine, cosine, cosecant, secant, tangent, and cotangent. The tutorial also delves into phase shift and vertical translation, providing a step-by-step method to determine these transformations in trigonometric graphs.

Which trigonometric functions have an amplitude?

• Sine and Cosine

• Tangent and Cotangent

• Secant and Cosecant

• All trigonometric functions

What is the formula for the period of sine and cosine functions?

• 2π times the absolute value of B

• 2π divided by the absolute value of B

• π divided by the absolute value of B

• π times the absolute value of B

How do you calculate the phase shift for a trigonometric function?

• By setting BX - C equal to 0

• By setting B + C equal to 0

• By setting BX + C equal to 0

• By setting B - C equal to 0

What is the phase shift if the equation is 3X - π/6 = 0?

• π/18 to the left

• π/6 to the right

• π/6 to the left

• π/18 to the right

What is the vertical translation if D is 0.5?

• 1 unit up

• 0.5 units down

• 0.5 units up

• 1 unit down