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Right Triangle Trigonometry: Understanding Ratios and Rations

Learn about the trigonometric ratios in a right triangle, label sides appropriately, calculate sin, cos, and tan, and simplify to decimals. Practice problems included!

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Right Triangle Trigonometry: Understanding Ratios and Rations

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  1. Right Triangle Trigonometry Ratios 12.1

  2. Must label the sides A Hypotenuse- across from the right angle From the marked angle… Opposite – across from the marked angle B C Adjacent – next to the marked angle

  3. Right triangle trig ratios:x is an acute angle • Sin x = length of opposite side = o length of hypotenuse h • Cos x = length of adjacent side = a length of hypotenuse h • Tan x = length of opposite side = o length of adjacent side a

  4. Remember it this way: SOH CAH TOA Find sinC C hypotenuse 1st Mark the angle given 13 12 2nd Label the triangle, opposite, adjacent, hypotenuse adjacent 3rd Use your trig ratios: A B 5 so opposite

  5. Try these: Write your answers as fractions and simplify to decimals T 6 8 C A 10 • Sin C = • Cos C = • Tan C = • Sin A = • Cos A = • Tan A =

  6. Find sinA, cosA, tanA Oh no – what is missing? C 12 A B 9

  7. In-Class Work • p. 625 #7-9, on number 8 write your answers as both fractions and decimals

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