[PDF] Basic Trigonometry: Soh-Cah-Toa





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Subject: Trigonometry

Created by: Angel Fuentes

Revised: 03/29/2018

Basic Trigonometry: Soh-Cah-Toa

Soh-Cah-Toa

Soh-Cah-Toa is a helpful acronym to remember sin, cos, and tan for trigonometry. Below shows how helpful the acronym can be.

Dz፽dz Means Angle H

DzCdz Means Opposite ™‹-Š "‡•"‡...- -‘ ፽ O

Dzdz ‡ƒ ›"‘-‡—•‡ ™‹-Š "‡•"‡...- -‘ ፽ A

3‹ ፽ α CȀ •... ፽ α ͳȀ•‹ ፽ α ȀC

‘• ፽ α AȀ 3‡... ፽ α ͳȀ...‘• ፽ α ȀA

4ƒ ፽ α CȀA ‘- ፽ α ͳȀ-ƒ ፽ α AȀC

Degree/Radians

3‹ ፽ 0 1/2 ξ-Ȁ- ξ͵Ȁ- 1

‘• ፽ 1 ξ͵Ȁ- ξ-Ȁ- 1/2 0

4ƒ ፽ 0 ͳȀξ͵ 1 ξ͵ λ or UND

•... ፽ λ or UND 2 ξ- 2/ξ͵ 1

3‡... ፽ 1 2/ξ͵ ξ- 2 λ or UND

‘- ፽ λ or UND ξ͵ 1 1/ξ͵ 0

Subject: Trigonometry

Created by: Angel Fuentes

Revised: 03/29/2018

Basic Trigonometry: Soh-Cah-Toa

Example

A spy plane is detected by a ground satellite, and the plane is 550 miles away with an angle of 60 degrees. How high is the plane from the ground?

Step 1

Draw a picture

y 550 60

Step 2

Soh-Cah-Toa?

3‹ ፽ α CȀ

Step 3

Plug and Solve

Sin (60) = y/550

ξ͵Ȁ- = y/550

(550) ξ͵Ȁ- = y

275 ξ͵ =y

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