Unit 4 Review Part 1 (4.1 Trig Identities & 4.2 Trig Graphs)

Simplify

 $\cot\theta\tan\theta$  

• sin²θ/cos²θ

• 1

• 0

• cos²θ/sin²θ

Simplify
 $\sec\theta\cot\theta\sin\theta$  

• -1

• sin θ

• csc θ

• 1

Simplify

  $\cot^2\theta\left(1+\tan^2\theta\right)$  

• csc²θ

• sec²θ

• cscθ

• 1

Simplify

 $\sin\theta\left(\csc\theta-\sin\theta\right)$  

• secθ

• cos²θ

• sin²θ

• sin²θ/cos²θ

Simplify

  $\csc\ x\left(\cos x+\sin x\right)$  

• csc x

• tan x + 1

• cot x

• cot x + 1

Find the amplitude of

 $y=-8\cos\left(\frac{7x}{4}\right)$  .

•  $\frac{7}{4}$  

• 8

• -8

•  $\frac{1}{8}$  

Tags

CCSS.HSF-IF.C.7E

Determine the period of

 $y=3\cos\left(\frac{x}{6}\right)-5$  .

•  $\frac{\pi}{3}$  

•  $\frac{1}{3}$  

•  $6\pi$  

•  $12\pi$  

Tags

CCSS.HSF-IF.C.7E

Find a and d for the function f(x) = asinx + d such that the graph of f(x) matches the graph shown.

• a = 2, d = -1

• a = 2, d = 2

• a = 4, d = 1

• a = 4, d = -3

Tags

CCSS.HSF-IF.C.7E

Choose the equation to represent the graph shown.

• $y=2\cos\left(4\theta\right)+1$

• $y=-\sin\left(\frac{1}{2}\theta\right)+1$

• $y=4\cos\left(\frac{1}{2}\theta\right)+1$

• $y=-\sin\left(2\theta\right)+1$

Tags

CCSS.HSF-IF.C.7E

Write the equation for a sine function with a reflection over the x-axis, period of

 $\pi$  , a phase shift of  $\frac{\pi}{2}$  , and a vertical shift of 4.

•  $y=-\sin\left(2\theta-\pi\right)+4$  

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

•  $y=-\sin\left(2\theta+\pi\right)+4$  

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

Tags

CCSS.HSF-IF.C.7E