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This guide explores the fundamentals of right triangle trigonometry, focusing on key concepts such as the Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides (c² = a² + b²). We define the essential trigonometric ratios: sine, cosine, and tangent, using the mnemonic SOH-CAH-TOA. The sine represents the opposite side over the hypotenuse, cosine the adjacent side over the hypotenuse, and tangent the opposite side over the adjacent side.
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Pythagorean Theorem • Recall that a right triangle has a 90° angle as one of its angles. • The side that is opposite the 90° angle is called the hypotenuse. • The Pythagoreans theorem says that the square of the hypotenuse is equal to the sum of the squares of the legs. c2 = a2 + b2 a c b
Introduction to Trigonometry opp is the side opposite angle A • adj is the side adjacent to angle A • hyp is the hypotenuse of the right triangle hyp opp adj A
Define the three basic trigonometric ratios: sine, cosine and tangent. Just remember sohcahtoa! Sin Opp Hyp Cos Adj Hyp Tan Opp Adj -or- School Can Teach Oscar Has AHairy Old Ape
Sec 7.5 #3-8, 16-26, (#30 extra credit) Sec 7.6 #1-9 odd, 10-15, 19-24 (#30 & 31 extra credit)
