Trig Ratios

Trig Ratios

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 is the ratio for SINE?

• The ratio of the the leg ADJACENT to the angle to the HYPOTENUSE

• The ratio of the the leg OPPOSITE to the angle to the HYPOTENUSE

• The ratio of the the leg OPPOSITE to the angle to the ADJACENT

Multiple Choice

What is the ratio for COSINE?

• The ratio of the the leg ADJACENT to the angle to the HYPOTENUSE

• The ratio of the the leg OPPOSITE to the angle to the HYPOTENUSE

• The ratio of the the leg OPPOSITE to the angle to the ADJACENT

Multiple Choice

What is the ratio for TANGENT?

• The ratio of the the leg ADJACENT to the angle to the HYPOTENUSE

• The ratio of the the leg OPPOSITE to the angle to the HYPOTENUSE

• The ratio of the the leg OPPOSITE to the angle to the ADJACENT

An easy way to remember the Trigonometry Ratios

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

Multiple Choice

Which ratio should you use to find Sine W?

SOH-CAH-TOA

• $\frac{Adjacent}{Opposite}$

• $\frac{Opposite}{Adjacent}$

• $\frac{Opposite}{Hypotenuse}$

• $\frac{Adjacent}{Hypotenuse}$

Multiple Choice

What is the ratio of Sine W?

SOH-CAH-TOA

• $\frac{15}{12}=\frac{5}{4}$

• $\frac{12}{15}=\frac{4}{5}$

• $\frac{9}{15}$

• $\frac{12}{9}=\frac{4}{3}$

Multiple Choice

Which ratio should you use to find Cosine W?

SOH-CAH-TOA

• $\frac{Adjacent}{Opposite}$

• $\frac{Opposite}{Adjacent}$

• $\frac{Opposite}{Hypotenuse}$

• $\frac{Adjacent}{Hypotenuse}$

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

Which ratio should you use to find Tangent W?

SOH-CAH-TOA

• $\frac{Adjacent}{Opposite}$

• $\frac{Opposite}{Adjacent}$

• $\frac{Opposite}{Hypotenuse}$

• $\frac{Adjacent}{Hypotenuse}$

Multiple Choice

What is the ratio of Tangent W?

SOH-CAH-TOA

• $\frac{15}{12}=\frac{5}{4}$

• $\frac{12}{15}=\frac{4}{5}$

• $\frac{9}{15}$

• $\frac{12}{9}=\frac{4}{3}$

Let's work this one together!

Multiple Choice

Which trigonometry ratio should you use to find x?

SOH-CAH-TOA

• $SOH\rightarrow\ \sin\ A=\frac{Opposite}{Hypotenuse}$

  
  

• $CAH\rightarrow\ \cos A=\frac{Adjacent}{Hypotenuse}$
  

• $TOA\rightarrow\ \tan\ A=\frac{Opposite}{Adjacent}$

Multiple Choice

Find X.

• 24.3

• 49.2

• 27.5

• 27.8

Multiple Choice

Which trigonometry ratio should you use to find x?

• $SOH\rightarrow\ \sin\ A=\frac{Opposite}{Hypotenuse}$

• $CAH\rightarrow\ \cos A=\frac{Adjacent}{Hypotenuse}$
  

• $TOA\rightarrow\ \tan\ A=\frac{Opposite}{Adjacent}$

Multiple Choice

Find X.

• 2.9

• 3.3

• 8.1

• 4.8