Unit 4: Review for Circles Trig Functions

Unit 4: Review for Circles Trig Functions

By Stephanie Balbaneda

Multiple Choice

What is the radius of the unit circle?

• 0

• 1

• 1/2

• √2/2

How does the Unit Circle divide its angles?

Multiple Choice

What is Trigonometry?

• The study of square measurements

• The study of triangle measurements

• The study of mathematics

• The study of measurements

Multiple Choice

What are the 3 basic trig functions?

• Sine, cosine, and cotangent

• Sine, cotangent, and cosecant

• Sine, cosine, and tangent

• Cosecant, cosine, and cotangent

An easy way to remember the Trigonometry Ratios

Multiple Choice

Which one is the easy way to remember trigonometric ratios?

• Sah Coh Toa
• Soh Cah Toa
• Soh Cah Tao
• Soh Ceh Toa

Multiple Choice

If I wanted to find the sine of an angle, what side lengths would I need to know?

• base, hypotenuse

• hypotenuse, adjacent

• opposite, hypotenuse

• adjacent, opposite

Multiple Choice

The cosine of an angle can be calculated by which expression?

• $$\frac{hypotenuse}{adjacent}$$

• $$\frac{opposite}{adjacent}$$

• $$\frac{adjacent}{hypotenuse}$$

• $$\frac{adjacent}{opposite}$$

Multiple Choice

What is the opposite side to <D?

• EF

• DF

• DE

Multiple Choice

What is the length of the opposite side?

• 8

• 15

• 17

Multiple Choice

What is the length of the adjacent side?

• 8

• 15

• 17

Multiple Choice

What leg is considered the hypotenuse?

• Any side
• the side opposite the smallest angle
• the side opposite the right angle
• the side opposite the shortest leg

Multiple Choice

For Right Triangle Trigonometry. The sin(A) equals which ratio?

• opposite/adjacent

• adjacent/hypotenuse

• opposite/hypotenuse

• adjacent/opposite

Multiple Choice

For Right Triangle Trigonometry. The cos(A) equals which ratio?

• opposite/adjacent

• adjacent/hypotenuse

• opposite/hypotenuse

• adjacent/opposite

Multiple Choice

For Right Triangle Trigonometry. The tan(A) equals which ratio?

• opposite/adjacent

• adjacent/opposite

• opposite/hypotenuse

• adjacent/hypotenuse

Multiple Choice

What is the ratio for Tangent

• Opp/Adj

• Adj/Opp

• Opp/Hyp

• Hyp/Opp

Multiple Choice

What is the ratio for Cosine?

• Opp/Hyp
• Opp/Adj
• Adj/Opp
• Adj/Hyp

Multiple Choice

What is the ratio for Sine?

• Hyp/Opp
• Opp/Hyp
• Opp/Adj
• Adj/Opp

Let's use SOH-CAH-TOA to work through each of these together!

Multiple Choice

What is the ratio of Cosine W?

SOH-CAH-TOA

• $$\frac{15}{12}=\frac{5}{4}$$

• $$\frac{12}{15}=\frac{4}{5}$$

• $$\frac{9}{15}=\frac{3}{5}$$

• $$\frac{12}{9}=\frac{4}{3}$$

Multiple Choice

• $$\frac{30}{50}$$  

• $$\frac{40}{50}$$  

• $$\frac{40}{50}$$  

Multiple Choice

• $$\frac{21}{29}$$  

• $$\frac{29}{21}$$  

• $$\frac{20}{29}$$  

Multiple Choice

• $$\frac{40}{41}$$  

• $$\frac{9}{41}$$  

• $$\frac{41}{40}$$  

Multiple Choice

• $$\frac{12}{37}$$  

• $$\frac{12}{35}$$  

• $$\frac{35}{37}$$  

Multiple Choice

• $$\frac{24}{26}$$  

• $$\frac{10}{26}$$  

• $$\frac{10}{24}$$  

Multiple Choice

• $$\frac{21}{28}$$  

• $$\frac{35}{21}$$  

• $$\frac{28}{21}$$  

Multiple Choice

• $$\frac{24}{32}$$  

• $$\frac{32}{24}$$  

• $$\frac{40}{32}$$  

Multiple Choice

• $$\frac{9}{40}$$  

• $$\frac{40}{9}$$  

• $$\frac{41}{9}$$