Trig Values and SOHCAHTOA SinCsc CosSec TanCot Word

Trig Values and SOHCAHTOA

Sin/Csc Cos/Sec Tan/Cot Word Problems 10 10 10 20 20 20 30 30 30 40 40 40 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 Csc 30 =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 Cos 30 = ? /2

Answer 2 – 40 √ 3

Question 2 - 50 Sec 30 = ? /√ 3

Answer 2 – 50 2

Question 3 - 10 Tan = ? /adjacent

Answer 3 – 10 Opposite

Question 3 - 20 Tan 45 = ?

Answer 3 – 20 1

Question 3 - 30 Cot 30 = ?

Answer 3 – 30 √ 3

Question 3 - 40 TanΘ = 1/√ 3

Answer 3 – 40 30

Question 3 - 50 Cot 45 = ?

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 Tan 30 = x/35 35 tan 30 = 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 Tan 55 = x/57 57 tan 55 = 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 Tan 60 = x/100 100 tan 60 = 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