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##### Right Triangle Trigonometry Part 3

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**Right Triangle Trigonometry Part 3**Integrated Math 2 – Lesson 26 Mr. Lopez**GO! DO!**• In ABC C is 90. B is 60 degrees and BC = 12. Find then length of AB.**Review of Right Triangle Trig Ratios**• We can determine the sides and the angles of right triangles using trigonometric ratios. • The 3 trig ratios are:**S-O-H C-A-H T-O-A**• S-O-H C-A-H T-O-A is the acronym for remembering the trig ratios. Sine Cosine Tangent Opposite Adjacent Opposite Hypotenuse Hypotenuse Adjacent**Inverse Trig Functions**• The inverse trig functions are the functions used to remove a trigonometric sign. • The inverse trig functions are: • sin-1 • cos-1 • tan-1 • We use the inverse trig functions to find a missing angle in right triangle.**Practice using the inverse trig functions**• Solve for “x” rounded to the nearest degree • sin x = .5876 • cos x = .1254 • tan x = .3679 • sin x = (11/15) • cos x = (2/9) • tan x = (8/5)**Using Inverse Trig Function with triangles**• In triangle BIG, I is 90. If side IB is 20 and side BG is 30. What is the measure of angle B rounded to the nearest degree?**Finding the angle**• Step 1: Draw out your diagram and label what sides are opposite, adjacent and hypotenuse all with any information about the problem. B x HYP ADJ 30 20 I G OPP**Finding the angle**• Step 2: Determine which trig function to use based on the diagram. Remember to draw two arrows from the given angle to the two sides in the triangle containing information. B COS = ADJ/HYP x HYP COS x = 20/30 ADJ 30 20 I G OPP**Finding the angle**• Step 3: Solve for “x” by the inverse trig functions COS x = 20/30 COS-1(20/30) x 48**Try again!**• In triangle JOB, O is 90 degrees. If JO is 7 and OB is 15, what is the measure of angle J?