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Finding Sine of an Angle

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Examples, solutions, videos, worksheets, and activities to help students learn how to find the sine of an angle in a right triangle.

What are Trigonometric Ratios?
Right triangles have ratios to represent the angles formed by the hypotenuse and its legs. Sine ratios, along with cosine and tangent ratios, are ratios of the lengths of two sides of the triangle. Sine ratios in particular are the ratios of the length of the side opposite the angle they represent over the hypotenuse. Sine ratios are useful in trigonometry when dealing with triangles and circles.

How to find the sine of an angle in a right triangle using sohcahtoa?

Trigonometric Ratios: Sine
We're going to learn about the sine, which is one of the trigonometric ratios.
Given an angle A in a right triangle. Then sin A is equal to the length of the leg that is opposite to this angle A, over the length of the hypotenuse.
A mnemonic that will help you remember this ratio easily: S. O. H. SOH is a mnemonic for sine, opposite, and hypotenuse.

Using the SOH formula - part 1
This is part 1 of a video that teaches how to use the SOH formula in high school Trigonometry.
Using the SOH formula - part 2
This is part 2 of a video that teaches how to use the SOH formula in high school Trigonometry

Using soh cah toa
Worked example evaluating sine and cosine using soh cah toa definition.

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