This trigonometry ratio relates hypotenuse and adjacent
What is cosine?
These are the types of triangles that trig functions work with. "What are ________ triangles"
What are right triangles
This is the key do we need to hit first on the calculator to get an inverse trig ratio
What is the 2ND key
What are the ratio for the sides of a 45-45-90 triangle?
If the legs are x, what is the measure of the hypotenuse?
What is the Pythagorean theorem?
a2+b2=c2
This trigonometry ratio relates hypotenuse and opposite
What is sine?
Calculate the value of sin 26 degrees
Sin 26 = 0.4384
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55.2
What is the ratio of sides for a 30-60-90 triangle?
If the shortest leg is x, what is the length of the Longest Leg? Hypotenuse
In right triangle DEF, m∠F=90°, EF≅DF and EF=25. What is the length of DE in simplest radical form?
25sqrt2
This trig ratio relates opposite and adjacent
What is tangent
Using trigonometry, find the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.8
In 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) = 72.26
What is the law of sines?
sin A/a = sin B/b = sin C/c
Sine of the angle over its opposite side.
In right triangle ABC below, AC=9. What is the length of AB?
6sqrt3
The name for when two lines intersect at a 90 degree angle
What is perpendicular
Using trigonometry, find the value for x:
Tan 54 = opp / adj
Tan 54 = x / 5
5 Tan 54 = x
x = 6.9m
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
Solve for KM.
sin 75/18 = sin 70/ x
x= 16.9
Find the length of side c
20.4
The functions used to solve for missing angles
Inverse trig functions (sin-1, cos-1, tan1-)
Using trigonometry, calculate the value for x:
Sin 28 = opp / hyp
Sin 28 = x / 50
50 Sin 28 = x
x = 23.5m
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) = 41.81
What is 19.1 feet
Find the area of the triangle.
100 square root 3