Trig Values and SOHCAHTOA

Sin/Csc Cos/Sec Tan/Cot Word Problems Misc.

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

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/3535tan30 = xX = 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/5757tan55 = xX = 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/100100tan60 = xX = 173.205 meters tall

Question 5 - 10

? Is the opposite of Secant

Answer 5 – 10

Cosine

Question 5 - 20

True/FalseOne 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