files/ Amanda L -- Blogmeister
 This blog is for Miss Jovanovich's algebra and geometry classes to share ideas, ask questions, and reflect on what skills and topics we are studying. If we are lucky, we might even get a chance to connect with other students studying the same stuff.
 by Amanda L teacher: Tina Jovanovich

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SOH CAH TOA

Hello everyone!

No, I didn't fall asleep on my keyboard. SOH CAH TOA is actually a helpful trick to use when remembering functions for trigonometry. Basically, the first letter in each triplet stands for a calculator function. The S stands for the key 'sin,' which stands for the term 'sine.' The C stands for the key 'cos,' which stands for the term 'cosine.' Finally, the T stands for the key 'tan,' which stands for the term 'tangent.' Each can be used to find diffent side lengths of a right triangle.

If you have a given angle measure, or you need to find the measure of an angle, you can use the side opposite as well as the hypotenuse to find it's value using this equation:

sin(angle measure) = opposite side / hypotenuse (hence: SOH)

You can also use the adjacent side and the hypotenuse to find the angle measure, or vice-versa:

cos(angle measure) = adjacent / hypotenuse (hence: CAH)

Finally, you can use the opposite side and the adjacent side to find the angle measure, or vice-versa:

tan(angle measure) = opposite side / adjacent side (hence: TOA)

This can be a confusing process, but through using visuals and writing out the functions, I believe it becomes easier to understand.

I hope I have helped you understand a little better with this interesting trick! Have a great week! :)

Article posted May 21, 2012 at 06:44 PM • comment • Reads 52 • see all articles