Definitions
Trig-Calculations
Inverse Trig calculations-
Mixed trig...
Mystery Box
100
This trigonometry ratio relates hypotenuse and adjacent
Cosine
100
You are looking to find a missing side length of a right-angle triangle using trigonometry.
What do you need?
One other side length and one angle (that isn't the right angle)
100
This is the key we need to hit first on the calculator to get an inverse trig ratio
Shift
100
When using Trigonometry, the side length NEXT TO the angle is labeled with what abbreviation?
Adjacent
100
What animal does Mr. Millwood have on one of his ties?
Tiger!
200
There are 2 angles we talked about.
1) Angle Of Depression
2) Angle Of _ _ _ _ _ _ _ _ _ _ _
Elevation!
200
Random question!
Give me 5 human names that are also flowers....
Any 5 will do!
200
Find an angle x, such that sin(x) = 0
Any multiple of 180 degrees (0,180,360,540...)
200
When using Trigonometry, what formula is used to calculate the opposite side when given the Hypotenuse and an angle?
sin θ = O/H
200
What is a fruit that rhymes with Trig..
Fig!
300
The side opposite from the right angle is known as the....
Hypotenuse
300
Using trigonometry, and find the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.789
300
In this right triangle
CAB, ∠A=90°. Determine ∠B to the nearest whole degree when CB=12.8 and AB=3.9.
Cos = A/H
Cos = 3.9/12.8
Cos-1 = 0.30
72 degrees
300
Think of an example in real life where you might use trigonometry (think engineering, large scale!)
Up to Mr. Millwood...
300
What is the Māori name for a fantail?
pīwakawaka
400
The only triangles that will work when using trig functions are:
Right Angle Triangles
400
Using trigonometry, find the value for x:
Tan 54 = opp / adj
Tan 54 = x / 5
5 times 1.376 = x
x = 6.880m
400
What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?
400
The 2024 Paintball Championship was near the end of the game and there was only one left standing on each team; Vox on the blue team and Vella on the red team.
Vella was standing behind a make shift wall, which was standing at 5m tall.
Vox was hiding in a snipers tower and because of all his hard work within the trigonometry unit he calculated the angle of elevation from top of his tower was 35 degrees.
Because Vella is an expert in trigonometry she knew that the angle of depression was 10 degrees at the base of Vox’s sniper tower.
Vella was trying to determine the height of Vox’s sniper tower to see if she could get a clear shot. Round to the nearest metre.
25m
400
Who was the first female Prime Minister of NZ?
Jenny Shipley
500
To solve for a missing angle, we use the ______ trig. functions
Inverse
500
Using trigonometry, calculate the value for x:
Sin 28 = opp / hyp
Sin 28 = x / 50
50 times .469 = x
x = 23.450m
500
In right triangle ADC, ∠D=90° and AD=5.6, AC=8.4. How big is the angle ∠ACD, rounded to one decimal place?
sin0 = O/H
sin0 = 5.6/8.4
sin0 = 0.66
sin-1 = 41.8 degrees
500
Find BOTH missing angles and the missing side.
Angle Z is the right angle.
Missing side = 29 cm or 28.777cm if you used trig.
Angle X = 44 degrees
Angle Y = 46 degrees
500
Did Mr. Millwood get the correct answer or did he make an error?
he messed up dividing instead of multiplying
cos45(4.24) = x