Sin/Csc Cos/Sec Tan/Cot Word Problems 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Misc. Question 1 - 10 SinΘ = 1/√2 Answer 1 – 10 45⁰ Question 1 - 20 Sin = opposite/? Answer 1 – 20 Hypotenuse Question 1 - 30 Csc30 =2/? Answer 1 – 30 1 Question 1 - 40 ?= hypotenuse/opposite Answer 1 – 40 Cosecant Question 1 - 50 CscΘ = 2/√3 Answer 1 – 50 60⁰ Question 2 - 10 Cos = ?/hypotenuse Answer 2 – 10 Adjacent Question 2 - 20 SecΘ = 2 Answer 2 – 20 60⁰ Question 2 - 30 ?= hypotenuse/adjacent Answer 2 – 30 Secant Question 2 - 40 Cos30 = ?/2 Answer 2 – 40 √3 Question 2 - 50 Sec30 = ?/√3 Answer 2 – 50 2 Question 3 - 10 Tan = ?/adjacent Answer 3 – 10 Opposite Question 3 - 20 Tan45 = ? Answer 3 – 20 1 Question 3 - 30 Cot30 = ? Answer 3 – 30 √3 Question 3 - 40 TanΘ = 1/√3 Answer 3 – 40 30 Question 3 - 50 Cot45 = ? Answer 3 – 50 1 Question 4 - 10 Answer 4 – 10 1 Question 4 - 20 A man is staring at a tree at a 30 degree angle, 43 yards from the tree. How tall is the tree? Answer 4 – 20 Tan30 = x/35 35tan30 = x X = 20.207 yards Question 4 - 30 A man in a car is staring up to the top of his work building at a 55 degree angle. He is 57 feet away from the building. What is the height of the office building? Answer 4 – 30 Tan55 = x/57 57tan55 = x X = 81.404 feet Question 4 - 40 Answer 4 – 40 Question 4 - 50 A fisherman was out on a fishing trip when he noticed a lighthouse 100 meters away. He was wondering how tall the lighthouse was. Looking up at a 60 degree angle, how tall was the lighthouse? Answer 4 – 50 Tan60 = x/100 100tan60 = x X = 173.205 meters tall Question 5 - 10 ? Is the opposite of Secant Answer 5 – 10 Cosine Question 5 - 20 True/False One can use SOHCAHTOA on any triangles Answer 5 – 20 False; only right triangles Question 5 - 30 How many special triangles are there with SOHCAHTOA? Answer 5 – 30 2; 30-60-90 triangles and 45-45-90 triangles Question 5 - 40 How many trig functions are there? Answer 5 – 40 6; sin, cos, tan, csc, sec, cot Question 5 - 50 What does SOHCAHTOA stand for? Answer 5 – 50