
Introduction to basic trigonometry
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Ibu K
Used 3+ times
FREE Resource
8 Slides • 12 Questions
1
2
Identify the sides of right-angled triangles
Calculate complementary angle of right-angled triangles
3
The Hypotenuse
The opposite side
The adjacent side
4
The three angles in any triangle add to 180°.
Since one angle in a right-angled triangle measures 90°, the other two angles must add to 90° to make up the 180°.
The two acute angles in any right-angled triangle are complementary angles (ie add to 90°).
5
Use the two CAPITAL letters at its ends.
Use one lower case letter which matches the opposite vertex (corner).
Side GH can be called f.
6
Multiple Choice
What is the name given to the longest side of a right-angled triangle?
Hypotenuse
Opposite
Adjacent
7
Multiple Choice
The hypotenuse of triangle LMN is ...
n
m
l
8
Multiple Choice
The side opposite to angle
θ in triangle LMN is ...
n
m
l
9
Multiple Choice
The side adjacent to the angle
θ in triangle LMN is ...
n
m
l
10
Multiple Choice
Which angle must be the right angle for this triangle?
angle A
angle B
angle C
11
Multiple Choice
What is the opposite angle to the side with length 12 m?
angle A
angle B
angle C
12
Multiple Choice
Complementary angles add together to give:
900
1800
3600
13
Multiple Choice
What is the size of the missing angle in this triangle?
200
300
900
1600
14
Identify the sides or angles
Choose the right trig ratio based on what was given.
Solve the equation to find the unknown
15
Remember, each of these ratios relies on you identifying the sides of the triangle based on your reference angle.
16
Multiple Choice
Which ratio represents
cos(∠W) ?
158
1715
178
17
Multiple Choice
Which ratio represents
tan(∠W) ?
178
1715
158
18
Multiple Choice
Which equation should be used to find the missing side length, x?
cos(33)=14x
sin (33)=14x
tan (33)=14x
tan(33)=x14
cos(33)=x14
19
Identify which 2 sides are "given"
Which trig ratio goes with those sides?
Set up a proportion
Solve your proportion
20
Multiple Choice
Find the distance between the ship and the ocean floor (d)
18.9 m
19.5 m
47 m
27.5 m
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