Definitions
Trig
Inverse Trig
Random
Get Triggy
100
This trigonometry ratio relates hypotenuse and adjacent
What is cosine?
100
These are the types of triangles that trig functions work with.
Right 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
What is the formula for the Pythagorean theorem?
a2 + b2 = c2
100
Find side length AB
AB = 8.4
200
This trigonometry ratio relates hypotenuse and opposite
What is sine?
200
Calculate the value of sin 26o
sin 26o = 0.438
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55o
200
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.
200
35o
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 = 8.666
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
Solve for the missing side length:
b = 8 cm
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)
10.724cm
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. What is the measure of the angle of elevation?
sin^-1(5.6/8.4) = 42 degrees
500
Find BOTH missing angles (x and y) and the missing side (?). Then find angle x ANOTHER WAY!
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
Angle X ANOTHER WAY:
Inverse sine (20/28.777) = 44 degrees
Inverse tan (20/21) = 43.6 rounded 44 degrees
Inverse cosine (21/28.777) = 43.1 rounded 43 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)