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Trig Values and SOHCAHTOA. 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.
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Question 1 - 10 SinΘ = 1/√2
Answer 1 – 10 45⁰
Question 1 - 20 Sin = opposite/?
Answer 1 – 20 Hypotenuse
Question 1 - 30 Csc30 =2/?
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
Question 2 - 50 Sec30 = ?/√3
Question 3 - 10 Tan = ?/adjacent
Answer 3 – 10 Opposite
Question 3 - 20 Tan45 = ?
Question 3 - 30 Cot30 = ?
Question 3 - 40 TanΘ = 1/√3
Question 3 - 50 Cot45 = ?
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 - 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