Trig vocab
The phrase we use to remember the trig ratios
SOH - CAH - TOA
The trig ratio of Sine
Opposite over hypotenuse
The equation set up for a triangle with an angle of 35 degrees, an opposite side of 12 cm in length, and you are trying to find the length of the hypotenuse
Sin(35) = 12/h
The True bearing of due West
270°T
The ratio you would use to find theta in a triangle with the opposite side being 17cm long, and the adjacent side being 10cm long.
Tan^1
(tan inverse)
The name of the greek symbol inside the brackets of a trig function
Theta
The trig ratio of tan
opposite over adjacent
The equation set up for a triangle with an angle of 55 degrees, an opposite side of 10 cm in length, and you are trying to find the length of the adjacent side
Tan(55) = 10/a
The True bearing that is equivalent to the compass bearing N35°E.
035°T
The equation set up for finding θ in a triangle with a hypotenuse of length 10cm and an opposite side of length 15cm.
Sin^1(15/10) = θ
(inverse sine)
When finding an angle, we are using these kinds of trig functions
Inverse
The trig ratio of cos
adjacent over hypotenuse
The equation set up for a triangle with an angle of 40 degrees, a hypotenuse of 30 cm in length, and you are trying to solve for the length of the adjacent side
Cos(40) = a/30
The true bearing equivalent to the compass bearing N10°W
350°T
A man stands at the top of a tower looking down at his friend at an angle of depression 30 degrees. What is the angle of elevation from where his friend is standing, to the top of the tower?
30 degrees
The correct pronunciation of the ratio defined by opposite over adjacent
Sine - pronounced 'sign'
If you said 'sin', please leave the room.
This student asked me to make a question using her name yesterday.
Isabella
A right angled triangle has an angle of 42 degrees, and an opposite side of 16 m in length. Find the length of the hypotenuse to 1 decimal place.
Sin(42) = 16/h
h = 16/sin(42)
h = 23.9 m
The compass bearing equivalent to the true bearing of 160°T
S20°E
The largest angle in a right angled triangle is always ____ degrees
90 degrees
Another way of labeling a letter using mathematical language
Pronumeral
My least favorite student in this class
If you named a single student, you are automatically incorrect. You are all my favorites.
A right angled triangle has an angle of 51 degrees, and an adjacent side of 12 m in length. Find the length of the opposite side to 1 decimal place.
Tan(51) = o/12
12 x tan(51) = o
o = 14.8 m
The compass bearing equivalent to the true bearing of 355°T
N25°W
You're asked to solve for θ in a right angled triangle. The side opposite θ is 20m. Is this enough information to be able to solve for θ ?
No, we need 2 side lengths to be able to solve for theta