This trigonometry ratio relates hypotenuse and adjacent
cosine
What types of triangles that trig functions work with.
Right angled triangles
Find side length AB
AB = 8.40
This is the key we need to hit first on the calculator to get an inverse trig ratio
the 2ND key or Shift key
When using Trigonometry, the side length NEXT TO the angle is labeled with what abbreviation?
Adjacent
This trigonometry ratio relates hypotenuse and opposite
sine
Solvew for x.
sin 26o = 0.438

35.10o
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55o
When using Trigonometry, what formula is used to calculate the opposite side when given the Hypotenuse and an angle?
sin θ = O/H
This trig ratio relates opposite and adjacent
tangent
Using trigonometry, find the value for x:

Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.789
How long is y?

y = 8.67
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
Trigonometry came from two Greek words "trigonon" which means _________ and "metron" which means ________.
triangle, measure
The longest side of a triangle
hypotenuse
Using trigonometry, find the value for x:

Tan 54 = opp / adj
Tan 54 = x / 5
5 times 1.376 = x
x = 6.880m
Write out the pneumonic device used to remember the trig ratios AND what they each stand for.
SOH CAH TOA
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
What do you call a researcher who is good at trigonometry?
A SINETIST
The function 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
Which line is the working out error on?
cos(theta)=A/H
cos(45)=x/4.24
x=4.24/cos(45)
x=3

Line 3
Should be
x=4.24*cos(45)
In right triangle ADC, ∠D=90° and AD=5.6, AC=8.4. How big is the angle ∠ACD, rounded to one decimal place?
sin^-1(5.6/8.4) = 41.8 degrees

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