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Published byGarey Newman Modified over 7 years ago

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Sin/CscCos/SecTan/Cot Word Problems Misc. 10 20 30 40 50

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Question 1 - 10 SinΘ = 1/√2

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Answer 1 – 10 45⁰

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Question 1 - 20 Sin = opposite/?

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Answer 1 – 20 Hypotenuse

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Question 1 - 30 Csc30 =2/?

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Answer 1 – 30 1

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Question 1 - 40 ? = hypotenuse/opposite

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Answer 1 – 40 Cosecant

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Question 1 - 50 CscΘ = 2/√3

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Answer 1 – 50 60⁰

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Question 2 - 10 Cos = ?/hypotenuse

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Answer 2 – 10 Adjacent

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Question 2 - 20 SecΘ = 2

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Answer 2 – 20 60⁰

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Question 2 - 30 ? = hypotenuse/adjacent

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Answer 2 – 30 Secant

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Question 2 - 40 Cos30 = ?/2

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Answer 2 – 40 √3

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Question 2 - 50 Sec30 = ?/√3

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Answer 2 – 50 2

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Question 3 - 10 Tan = ?/adjacent

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Answer 3 – 10 Opposite

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Question 3 - 20 Tan45 = ?

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Answer 3 – 20 1

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Question 3 - 30 Cot30 = ?

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Answer 3 – 30 √3

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Question 3 - 40 TanΘ = 1/√3

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Answer 3 – 40 30

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Question 3 - 50 Cot45 = ?

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Answer 3 – 50 1

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Question 4 - 10

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Answer 4 – 10 1

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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?

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Answer 4 – 20 Tan30 = x/35 35tan30 = x X = 20.207 yards

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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?

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Answer 4 – 30 Tan55 = x/57 57tan55 = x X = 81.404 feet

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Question 4 - 40

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Answer 4 – 40

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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?

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Answer 4 – 50 Tan60 = x/100 100tan60 = x X = 173.205 meters tall

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Question 5 - 10 ? Is the opposite of Secant

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Answer 5 – 10 Cosine

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Question 5 - 20 True/False One can use SOHCAHTOA on any triangles

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Answer 5 – 20 False; only right triangles

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Question 5 - 30 How many special triangles are there with SOHCAHTOA?

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Answer 5 – 30 2; 30-60-90 triangles and 45-45-90 triangles

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Question 5 - 40 How many trig functions are there?

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Answer 5 – 40 6; sin, cos, tan, csc, sec, cot

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Question 5 - 50 What does SOHCAHTOA stand for?

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Answer 5 – 50

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