Trigonometry/Soh-Cah-Toa

The Mnemonic Soh-Cah-Toa is a mnemonic for remembering how to use sines, cosines, and tangents to compute lengths in right angle triangles. Trigonometric definitions right triangle This triangle has sides a and b. The angle between them, C, is a right angle. The third side, c, is the hypotenuse. Side a is opposite angle A, and side b is adjacent to angle A. Applying the definitions of the functions, we have: or opposite side over hypotenuse or adjacent side over hypotenuse or opposite side over adjacent side This can be memorized using the mnemonic 'SOH-CAH-TOA' (sin = opposite over hypothenuse, cosine = adjacent over hypotenuse, tangent = opposite over adjacent). Video Link These links from the Khan Academy are useful for this topic. Basic Trigonometry Soh-Cah-Toa (sin and cosine) Basic Trigonometry II Soh-Cah-Toa (starting with tan) Exercises: (Draw a diagram!) Exercise: Find sin cos and tan A right triangle has side a = 3, b = 4, and c = 5. Calculate the following: Exercise: Find a side A different right triangle has side and . Calculate side a. Sine Squared plus Cosine Squared Cosine and Sine