
Basic Trig Review
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
+4
Standards-aligned
Elizabeth Richardson
Used 10+ times
FREE Resource
8 Slides • 18 Questions
1
By Elizabeth Richardson
2
3
4
Draw
The side across from the RIGHT ANGLE is called the HYPOTENUSE. Write H on the HYPOTENUSE
5
Draw
The side that connects the RIGHT ANGLE to your reference angle (THETA) is the side ADACENT. Draw an A on that side.
6
Draw
The side across from THETA is the side OPPOSITE. Draw an O on that side.
7
Draw
Label each side with H, A and O
8
RATIO of 2 sides of a right triangle. So we can set it up as
TRIG(angle) = fraction
Remember your SOH-CAH-TOA??
9
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
16
Evaluate Sin/Cos/Tan
Be sure your calculator is in the correct MODE. If you see a degree symbol, make sure you are in DEGREE mode. If you do not see a degree symbol OR if you see π, then choose RADIAN mode.
Calculator -- hit MODE scroll down and select DEGREE or RADIAN
Desmos -- click on the WRENCH top right corner and select DEGREE or RADIAN.
**Default mode for calculators is RADIAN mode.
Subject | Subject
17
Fill in the Blanks
What is sin(420) rounded to 3 decimal places?
Type answer...
18
Fill in the Blanks
What is tan(2200) rounded to 3 decimal places
Type answer...
19
Fill in the Blanks
What is cos(32π) ?
Type answer...
20
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
21
Multiple Choice
Solve for side b
3.73 m
7.25 m
3.38 m
0.06 m
22
Fill in the Blanks
Solve for x rounding to the nearest tenth (1 decimal place)
Type answer...
23
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!!
24
Multiple Choice
Solve for x:
x = ____0
51
39
54
36
25
Fill in the Blanks
Solve for angle A, rounding to the nearest whole number. Angle A =
Type answer...
26
Poll
How would you describe your understanding of Basic Trig Review?
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
By Elizabeth Richardson
Show answer
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