Applying and analysing trigonometric functions

What is the period in the function v(x) = -3 cos π(x – π) + 7?

• π

• 2π

• 1

• 2

what is the frequency of y= -3sinx

• 1/ π

• 2π

• 1/2π

• π

Write the equation for a sine function with an amplitude of 6 and a period of  $\frac{\pi}{4}$  .

•  $y=6\sin8\theta$  

•  $y=6\sin8\left(\theta-1\right)$  

•  $y=6\sin\ \frac{1}{4}\theta$ 

•  $y=6\sin\theta$  

What is the period for

y = 4cos(0.5x + π) - 2?

• 2π

• π

• 4π

•  $\frac{\pi}{2}$  

Mathematical Equivalence

OFF

What is the period of the function?

• 6

What is the period of 
y = 3sin(x/4 - 30)  + 2
in degrees?

• 180
• 360
• 720
• 1440

What is the period of the following function?

 $y=-4\sin2\left(x+\frac{\pi}{2}\right)-5$  

•  $-4$  

•  $4$  

•  $2\pi$  

•  $\pi$  

•  $-5$  

• 1. 𝑓 is decreasing, and the graph of 𝑓 is concave down.

• 1. 𝑓 is decreasing, and the graph of 𝑓 is concave up.

• 1. 𝑓 is increasing, and the graph of 𝑓 is concave down.

• 1. 𝑓 is increasing, and the graph of 𝑓 is concave up.

• -5

• 3