This trigonometry ratio relates hypotenuse and adjacent
What is cosine?
These are the types of triangles that trig functions work with.
Right triangles
This is the key we need to hit first on the calculator to get an inverse trig ratio
What is the 2ND or SHIFT key
What is the formula for the Pythagorean theorem?
a2 + b2 = c2
Mr. Dawson attended this high school.
Saunders Secondary School.
This trigonometry ratio relates hypotenuse and opposite
What is sine?
Calculate the value of sin 26o
sin 26o = 0.438
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55°
What is the essence of the Pythagorean Theorem? Another words, what purpose does it serve?
The two shorter sides squared when added together equal the hypotenuse squared. It helps you find the length of a missing side measure in a right triangle.
Mr. Dawson went TikTok famous in September 2024 off this viral four-letter trend.
FEIN
This trig ratio relates opposite and adjacent
What is tangent
Using trigonometry, find the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.789
In this right triangle
CAB, ∠A=90°. Determine ∠B to the nearest whole degree when CB=12.8 and AB=3.9.
Cos^-1 (3.9/12.8) = 72^o
Why is Trig a helpful form of math?
You can determine sides and angles that are not able to be measured by devices.
Mr. Dawson played this wind instrument in high school band.
The trombone.
The longest side of a triangle
What is the hypotenuse
Using trigonometry, find the value for x:
Tan 54 = opp / adj
Tan 54 = x / 5
5 times 1.376 = x
x = 6.880m
What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?
tan θ=300/90
θ=tan^-1(300/90)
θ=73^o
Solve for the missing side length:
b = 8 cm
Math is Mr. Dawson's first teachable subject. His second is:
Physics.
The name of the math operations used to solve for the missing angle
Inverse trig functions (inverse sine, inverse cosine, inverse tangent)
Using trigonometry, calculate the value for x:
Sin 28 = opp / hyp
Sin 28 = x / 50
50 times .469 = x
x = 23.450m
In right triangle ADC, ∠D=90° and AD=5.6, AC=8.4. What is the measure of the angle of elevation?
sin^-1(5.6/8.4) = 42°
Find BOTH missing angles (x and y) and the missing side.
Missing side = 29 cm or 28.777cm if you used trig.
Angle X = 44 degrees
Angle Y = 46 degrees
Mr. Dawson has this many pets.
Two pets