Definitions
Trig #1
Inverse Trig
Random
Special Right Triangles
100
This trigonometry ratio relates hypotenuse and adjacent
What is cosine?
100
What types of triangles that trig functions work with.
Right angled triangles
100
This is the key we need to hit first on the calculator to get an inverse trig ratio
What is the 2ND key
100
When using Trigonometry, the side length NEXT TO the angle is labeled with what abbreviation?
Adjacent
100
Find side length AB
AB = 8.40
200
This trigonometry ratio relates hypotenuse and opposite
What is sine?
200
Solvew for x.
sin 26o = 0.438
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55o
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
35.10o
300
This trig ratio relates opposite and adjacent
What is tangent
300
Using trigonometry, 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^-1 (3.9/12.8) = 72^o
300
Why is Trig a helpful form of math?
You can determine sides and angles that are not able to be measured by devices.
300
How long is y?
y = 8.67
400
The longest side of a triangle
What is the hypotenuse
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?
tan θ=300/90
θ=tan^-1(300/90)
θ=73^o
400
What do you call a researcher who is good at trigonometry?
A SINETIST
400
How long is the opposite side of a right angled triangle if the reference angle is 50 degrees and the hypotenuse is 14cm? (2d.p)
10.72cm
500
The function used to solve for the missing angle
Inverse trig functions (inverse sine, inverse cosine, inverse tangent)
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?
sin^-1(5.6/8.4) = 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
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)