Unit 11 - Trigonometry

Question 1

How do you determine which sides are opposite, adjacent or the hypotenuse relative to an angle? (3)

Answer 1

1. Hypotenuse - Opposite Right Angle
2. Adjacent - Next to Angle
3. Opposite - Only Side that Doesn’t Touch

Question 2

Definition of Sine (2)

Answer 2

1. sinθ (ratio)
2. Opposite/Hypotenuse

Question 3

Definition of Cosine (2)

Answer 3

1. cosθ (ratio)
2. Adjacent/Hypotenuse

Question 4

Definition of Tangent (2)

Answer 4

1. tanθ (ratio)
2. Opposite/Adjacent

Question 5

What is an abbreviated to remember the ratios of Sine, Cosine & Tangent?

Answer 5

SOH - CAH - TOA (ONLY APPLIES TO RIGHT TRIANGLES)

Question 6

How do you find an side and angle measure based on cosine, sine and tangent? (3)

Answer 6

1. Because tan, sine & cosine are considered numbers
2. You can make a proportion by adding a denominator of 1
3. For angle measure, multiply inverse (sin -1) by ratio

Question 7

How many degrees is π equivalent to?

Answer 7

180 = π radians

Question 8

How do you convert degrees to radians?

Answer 8

multiply π/180

Question 9

How do you convert radians to degrees?

Answer 9

1. Substitute 180 Degrees for π
2. multiply 180/π

Question 10

Definition of Angle of Elevation & Angle of Depression (4)

Answer 10

• Angle between horizontal & line of sight
• Angle of Elevation (above)
• Angle of Depression (below)
• Angles are congruent bc horizontal lines are parallel & alt. int. angles congruent

Question 11

How do you draw a horizontal line for angle of depression or angle of elevation? (2)

Answer 11

1. Draw horizontal line from eye level of the person
2. Draw a line upwards or downwards based on what they’re looking at
3. When not given the height of person from “eye level”, draw horizontal from their feet

Question 12

What is an instinct you must utilize when given radians for angle measure in a word problem?

Answer 12

Convert to Degrees