trigonometry day 1 need class sets (1/2 set for sleeves) for today: discovering trig ratios,...
TRANSCRIPT
TrigonometryDay 1
Need Class Sets (1/2 set for sleeves) for today:Discovering Trig Ratios, Cannibal Puzzle, Easter Rabbit Puzzle
Warm UpGiven the following triangles, find x. 1. 2. 3.
Solve for the missing variables
4. 5. 6. Simplify
2 12 45x x 1
52
3 8 2
y x
x y
2( 5 3)
X = 13 X = 2 6 2X
X = 15, -3
X = 6 and Y = -2
75
Instructions on Clinometer Assembly
- needs to be ready on Tuesday.
ALL parts must be ready and assembled BEFORE class for credit!
Trig MeasuringExercise / Exploration
Complete on Notebook Paper
Determine the ratios in fraction form and also in decimal form rounded to the nearest ten-thousandth.
Notes 9.1 and 9.2 - Trigonometric Functions
The trigonometric (trig) functions are Sine, Cosine, and Tangent.
These functions can be used to find angle measures,knowing the ratio of the sides
OR length of a side,knowing one side and an angle measure.
They are used only for RIGHT triangles!
Notes 9.1 and 9.2 - Trigonometric Functions
The trigonometric (trig) functions are Sine, Cosine, and Tangent.
These functions can be used to find angle measures,knowing the ratio of the sides
OR length of a side,knowing one side and an angle measure.
They are used only for RIGHT triangles!
These section numbers are for the Prentice Hall Geometry Book. Remember, you have online access to that book. Use it for extra
examples, practice, etc.
The trig functions are: Sin =
Cos =
Tan =
where O = opposite, A = adjacent, and H = hypotenuse
and is an angle measurement.
Opposite O
Hypotenuse H
Adjacent A
Hypotenuse H
Opposite O
Adjacent A
SOH CAH TOATo set up trig ratios, look at the first letter of the trig function you’re trying to evaluate and use SOH CAH TOA to help you set up the ratio!
Want to know how I remember SOH CAH TOA??
SOH CAH TOA
Some Old Hamster Caught Another Hamster Teaching Owls Algebra
Finding Trigonometric Ratios
SOH CAH TOA
Ex 1: tan(B)
Ex 2: tan(D)
5
12
12
5
You try! SOH CAH TOA
Ex 3: sin(D)
Ex 4: cos(D)
Ex 5: cos(B)
12
13
5
13
12
13
Cannibal PuzzlePractice Worksheet
Finding missing side lengths with the Trigonometric Ratios
To solve for missing side lengths, set up the trigonometric ratio, and put the trig function over one, then cross-multiply to solve.
Ex 1: Find y.
SOH CAH TOAEx 2: Find x.
Ex 3: Find x.
You Try: (Remember SOH CAH TOA)Use the trig ratios to find the length of the side labeled
with a variable. All angle measures for these examples are in degrees.
1) 2) 3)
4) 5)
X = 20.8 x = 8.3 x = 17.0
X = 5.5 x = 13.7
You Try!Easter Rabbit Puzzle
Homework
Pg 1 odd and Pg 2 all
Print your notes if you have not yet done so!!!