Definitions
Trig
Inverse Trig
Random
100
This trigonometry ratio relates hypotenuse and adjacent
What is cosine?
100
These are the types of triangles that trig functions work with. "What are ________ triangles"
What are 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 Pythagorean theorem?
a2+b2=c2
200
This trigonometry ratio relates hypotenuse and opposite
What is sine?
200
Calculate the value of sin 26 degrees
Sin 26 = 0.438
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55 degrees
200
What is the essence of the pythagorean theorem?
The two short sides squared and added together equal the hypotenuse squared.
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, m∠A=90°. Determine m∠B nearest whole degree when CB=12.8 and AB=3.9.
Cos^-1 (3.9/12.8) = 72 degrees
300
Why is Trig a helpful form of math?
You can determine sides and angles that are not able to be measured by devices.
400
comparing two side measures LIKE adjacent over hypotenuse
What is a ratio of side measures
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 degrees
400
Solve for the missing side.
x = 10
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, m∠D=90° and AD=5.6, AC=8.4. What is the number of degrees in the angle of depression to the nearest tenth?
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