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OSU / Science and Math / Math 1149 / How do you find the 6 trigonometric functions?

# How do you find the 6 trigonometric functions? Description

##### Description: These notes cover, - Trigonometry of Right Angles - Conversion Table (Degree, Radian, Sin Theta, Cos Theta and Tan Theta) - Determining the Six Trigonometric Functions (Sin, Cos, Tan, Csc, Sec and Cot.) - SOH-CAH-TOA - Pythagorean Theorem
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5.2 Trigonometry of Right Triangles

## How do you find the 6 trigonometric functions? Sunday, January 20, 2019

11:37 AM

opposite

SOUP

Sin e sopposite/hypotenuse Cose=adjacent/hypotenuse Tan O=opposite/adjacent Sec =1/Cose Csc =1/Sino Cot O=1/Tan Tan9=Sin/Cose

## How do you solve a right angled triangle? If you want to learn more check out Does being happy make you live longer?

S

hypotenuse

Example. 1

A 40ft latter is leaning against a building. If the base of the latter is 6ft from the base of the building, then what is the angles formed by the latter and the building? We also discuss several other topics like What are values in psychology?
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Sino =

40

0 = sin(40) If you want to learn more check out What are examples of ethnocentrism?

When calc, is in radian When calc. is in degree

## What is opposite over hypotenuse? 40

Cos

Tan

=30 T76 z Ø 45 T/4 2/2 8 60 TY3 3/2 We also discuss several other topics like How was the plymouth colony governed?
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=90 172 =0 0 0

√2/2 /

3

Example 2

Given the right triangle, calculate the 6 trigonometric functions.

*SOH-CAH-TOA* Sin e=/h = 5/13 Cose= a/h = 12/13 Tan = o/a = 5/12 CSC @ = 1/Sino = 13/5 Sec 0 = 1/cose= 13/12 Cot O = 1/Tane= 12/5

a+b=C? 5+2 = x 25+144 = x 169=x? 13 = X

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