
Trig Functions
Presentation
•
Mathematics
•
11th Grade
•
Medium
+4
Standards-aligned
Tom Giles
Used 14+ times
FREE Resource
8 Slides • 17 Questions
1
Trig Geometry
Dr. Tom Giles
2
3
4
Draw
The side across from the RIGHT ANGLE is called the HYPOTENUSE.
5
Draw
The side that connects the RIGHT ANGLE to your reference angle (THETA) is the side ADACENT.
6
Draw
The side across from THETA is the side OPPOSITE.
7
Draw
Label each side with H, A and O
8
Trigonometry is just a
RATIO of 2 sides of a right triangle. So we can set it up as
TRIG(angle) = fraction
Remember your SOH-CAH-TOA??
9
S O/H C A/H T O/A
SINE COSINE TANGENT
SINE = OPPOSITE/HYPOTENUESE
COSINE = ADJACENT/HYPOTENUESE
TANGENT = OPPOSITE/ADJACENT
10
Multiple Choice
Which ratio represent sin(θ) ?
sine = opp/hyp
8/10
6/10
8/6
6/8
11
Multiple Choice
Which ratio represents cos(θ) ?
cos = adj/hyp
8/10
6/10
8/6
6/8
12
Multiple Choice
Which ratio represents tan(θ) ?
tan = opp/adj
8/10
6/10
8/6
6/8
13
Multiple Choice
Which ratio represents tan(θ) ?
8/17
8/15
15/17
15/8
14
Multiple Choice
Which ratio represents cos(θ) ?
15/8
15/17
8/15
8/17
15
Multiple Choice
Which ratio represents sin(θ) ?
8/17
15/17
8/15
15/8
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Evaluate Sin/Cos/Tan
Be sure your calculator is in the correct MODE. For all of the Trigonometry applications we will use, make sure you are in DEGREE mode.
Calculator -- hit MODE scroll down and select DEGREE.
Desmos -- click on the WRENCH top right corner and select DEGREE.
**Default mode for calculators is RADIAN mode, so make sure your calculator is in DEGREE mode.
Subject | Subject
17
Fill in the Blanks
Type answer...
18
Fill in the Blanks
19
Ready to solve for a missing side?
Start by labeling your sides OPP, ADJ & HYP according to the reference angle (usually labeled or has a measure). Which side has a measure? Which side are you solving? This will let you know if you are using SIN, COS, or TAN.
TRIG (angle) = side / side Fill in what you know and solve!
Subject | Subject
20
Multiple Choice
Solve for side b
3.73 m
7.25 m
3.38 m
0.06 m
21
Fill in the Blanks
Type answer...
22
Ready to solve for a missing angle?
Like before, label all your sides according to your reference angle (the one you are solving for). Determine if you will use SIN, COS, or TAN. This time you are using an inverse function (the angle and the ratio trade places).
If using a calculator, 2nd SIN/COS/TAN. If using Desmos, click on FUNCTIONS, Inverse Trig.
TRIG-1 (SIDE/SIDE) = missing angle
Subject | Subject
You got this!!
23
Multiple Choice
Solve for x:
x = ____0
51
39
54
36
24
Fill in the Blanks
25
Poll
How would you describe your understanding of Trig Geometry?
I am completely lost
I think I got some of it but need help
I think I got it and am going to practice some more
I got it and I can help others
Trig Geometry
Dr. Tom Giles
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