Application on Sine Ratio

Trig Ratios Intro:
Sin, Cos, & Tan

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