Trigonometry review and Reference Angle check

Poll

How well do you remember special right triangles?

• Very well

• Here and there

• Hmm, I have to think about that

• Totally forgotten the concept

Multiple Choice

Find the missing side lengths

• a = 4, b = 2√2

• a = 4, b = 4

• a = 2√2,  b = 4

• a = 4, b = 3

Math Response

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems) ​ ​ ​ ​

Type answer here

Correct Answer: 16\sqrt{3}

Deg^°

Rad

Open Ended

are − $$\frac{3\pi}{4}$$ and $$\frac{5\pi}{4}$$ coterminal angles? Show your work to verify your answer

Math Response

What is cos $$\frac{5\pi}{6}$$

Type answer here

Correct Answer: -\frac{\sqrt{3}}{2}

Deg^°

Rad

Multiple Choice

What is the reference angle for 485°?

• -75

• 75

• 55

• 125

Math Response

Find the reference angle in Radians

Type answer here

Correct Answer: \frac{\pi}{4}

Deg^°

Rad

Multiple Select

Which of the following angles are coterminal to the angle $$-\frac{5\pi}{3}$$ ? Select all that apply.

• $$\frac{\pi}{3}$$

• $$\frac{7\pi}{3}$$

• $$-\frac{11\pi}{3}$$

• $$-\frac{15\pi}{3}$$

Multiple Choice

Find an angle coterminal with an angle measuring radians. Show all work in the note you will submit on Google Classroom

• $$\frac{\pi}{3}$$

• $$\frac{5\pi}{4}$$

• $$\frac{5\pi}{3}$$

• $$\frac{\pi}{4}$$

Review Trig Identities

Poll

How well do you recall Trig Identities?

• Boss Level

• Hmm.. somewhere here or there

• Vague collection

• No idea what this is

Multiple Choice

$$\cot^2x+1$$

• $$\sin^2x$$

• 
  $$\csc^2x$$

• 1

• $$\cos^2x$$

Multiple Choice

csc x. cos x

• sin x

• 1

• cot x

• tan x

Math Response

$$\left(\sin^2x-\cos^2x\right)\left(\sec^2x-\tan^2x\right)\left(\csc^2x-\cot^2x\right)$$

Type answer here

Correct Answer: 1

Deg^°

Rad

Multiple Choice

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

• $$\sin^2\theta$$

• cos $$\theta$$

• tan $$\theta$$

• 1- $$\sin^2\theta$$

Multiple Choice

$$\frac{\sec^2\theta-1}{\sec^2\theta}$$

• 1
• 
  $$\cos^2\theta$$

• $$\sin^2\theta$$

• 1 -sin $$\theta$$

Multiple Choice

$$\csc^2\theta-\cot^2\theta$$

• sec $$\theta$$

• $$\sec^2\theta$$

• $$\csc^2x-1$$

• 1

Multiple Choice

$$\sec\ x+\ \frac{1}{\cos\ x}$$

• 1
• 0

• $$\frac{2}{\cos\ x}$$

• $$\sec^2x$$