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C 2 1. sin A 5 2. cos A 21 5 2 2 21 3. tan A 21 21 5 A 2 M 4. If C = 20º, then cos C is equal to: A. sin 70 B. cos 70 C. tan 70 Skills Check CCGPS Geometry Day 17 (8-29-13) UNIT QUESTION: What patterns can I find in right triangles? Standard: MCC9-12.G.SRT.6-8 Today’s Question: How do we use trig ratios to find the missing sides and angles of a triangle? Standard: MCC9-12.G.SRT.6-8 Finding an angle. (Figuring out which ratio to use and an inverse trig button.) Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. 20 tan 20 m 40 1 20 tan x 40 Tan-1 20 / 40 ) 26.6 x 40 m Shrink yourself down and stand where the angle is. o Now, figure out which trig ratio you have and set up the problem. Ex: 2 Figure out which ratio to use. Find x. Round to the nearest tenth. 15 sin 15 m 50 1 15 sin x 50 Sin-1 15 / 50 ) 50 m x Shrink yourself down and stand where the angle is. 17.5 o Now, figure out which trig ratio you have and set up the problem. Ex. 3: Find . Round to the nearest degree. 17.2 tan 9 17.2 9 17.2 tan 9 1 62 Ex. 4: Find . Round to the nearest degree. 7 23 7 cos 23 7 cos 23 1 72 Ex. 5: Find . Round to the nearest degree. 200 200 sin 400 200 sin 400 1 30 Finding a side. (Figuring out which ratio to use and getting to use a trig button.) Ex: 6 Figure out which ratio to use. Find x. Round to the nearest tenth. x tan 55 20 20 m 55 20 tan 55 x 20 tan 55 ) x 28.6 m x Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem. Ex: 7 Find the missing side. Round to the nearest 80 tan 72 x x tan 72 80 tenth. 80 ft 80 x tan 72 72 x 80 ( tan Shrink yourself down and stand where the angle is. 72 ) ) = x 26 ft Now, figure out which trig ratio you have and set up the problem. Ex: 8 Find the missing side. Round to the nearest tenth. x 283 m 24 Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem. x sin 24 283 283sin 24 x x 115.1 m Ex: 9 Find the missing side. Round to the nearest tenth. 20 ft 40 x x cos40 20 20 cos40 x x 15.3 ft When we are trying to find a side we use sin, cos, or tan. When we are trying to find an angle we use (INVERSE) -1 -1 -1 sin , cos , or tan .