Definitions
Trig #1
Trig #2
Trig #3
100
This trigonometry ratio relates hypotenuse and adjacent
cosine
100
What types of triangles that trig functions work with.
Right angled triangles
100
Find side length AB
AB = 8.40
100
This is the key we need to hit first on the calculator to get an inverse trig ratio
the 2ND key or Shift key
200
This trigonometry ratio relates hypotenuse and opposite
sine
200
Solvew for x.
sin 26o = 0.438
200
35.10o
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55o
300
This trig ratio relates opposite and adjacent
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
How long is y?
y = 8.67
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
400
The longest side of a triangle
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
Write out the pneumonic device used to remember the trig ratios AND what they each stand for.
SOH CAH TOA
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
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
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)
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