Definitions
Trig #1
Inverse Trig
Unit Circle/Angles
Special Right Triangles
100
This trigonometry ratio relates hypotenuse and adjacent
What is cosine?
100
Solve for x.
sin 26o = 0.438
100
The value of sin-1(1/2)
pi/6
100
Are 755 and 35 coterminal angles?
Yes!
755-360=395
395-360=35
100
Find side length AB
AB = 8.40
200
This trigonometry ratio relates hypotenuse and opposite
What is sine?
200
Using trigonometry, find the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.789
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55o
200
Name 1 positive angle and 1 negative angle that are coterminal with 86.
Positive: 446, 806, 1166, 1526, ...
Negative: -274, -634, -994, -1354, ...
200
35.10o
300
This trig ratio relates opposite and adjacent
What is tangent
300
Using trigonometry, find the value for x:
Tan 54 = opp / adj
Tan 54 = x / 5
5 times 1.376 = x
x = 6.880m
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
Where are the trigonometric functions positive on the unit circle?
Q1: A
Q2: S
Q3: T
Q4: C
300
How long is y?
y = 8.67
400
The longest side of a triangle
What is the hypotenuse
400
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
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
Evaluate sin(pi/3) WITHOUT a calculator
rad3/2
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 functions 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
Evaluate cos(45.) WITHOUT a calculator
rad2/2
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)