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Sine Function (Sine Ratio)




 
In these lessons, we will learn the sine function or sine ratio, how to use the SOH formula, how the sine ratio was discovered and how to solve some word problems using the sine function.

Related Topics: More Lessons on Trigonometry

The three common trigonometry functions are tangent, sine and cosine.

You may use want to use some mnemonics to help you remember the trigonometric functions. One common mnemonic is to remember the SOH-CAH-TOA.

In this lesson, we will consider the sine function.

The sine of an angle is the ratio of the opposite side to the hypotenuse side.

Sine is usually abbreviated as sin. Sine θ can be written as sin θ.

Example:

Calculate the value of sin θ in the following triangle.


Solution:



SOH Formula

The following video shows examples of using the sine function.
Using the Sine Formula (the SOH formula) - part 1.
Using the Sine Formula (the SOH formula) - part 2.



Discovery of Sine Function

Sine Function
The discovery and use of the sine function.
The Sine Ratio
An intro to the right triangle definitions of sine and cosine.


 

Sine Function Word Problems

A word problem involving the trigonometric ratio of sine to calculate the height of a pole
A 55ft wire connects a point on the groud to the top of a pole. The cable makes an angle of 60 degrees to the ground. Find the height of the pole to the nearest foot.
Multiple-Step SOH CAH TOA Problems
Two ladders are leaning against a building as shown. What is the angle below the shorter angle?


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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