Trigonometry
Given 2 sides of a right triangle, one side that measures 6, another side that measures 8, find the measure of the hypotenuse.
10
What are the two types of special right triangles?
45-45-90
30-60-90
How many total degrees/radians are there in the Unit Circle?
360 degrees, 2 Pi Radians
Which of the 3 functions would have an amplitude:
sin, cos or tan?
Only sin and cosine
Usually situated in front of a wind ensemble, this musical instrument shares parts with a flute but ultimately sounds more like a reed. What is it?
Oboe
Given a right triangle. Find the measure of the side opposite a 43 degree angle, given that the adjacent side measures 12.
tan 43 = x/12
12* tan 43 = x
x=11.2
Given a length of 8 for the hypotenuse of a 45-45-90 triangle, what would the measure of the leg be?
4 sqrt 2 or 8/sqrt 2
Convert the following from radian to degrees and then from degrees to radians.
Convert 160 degrees to radians
Convert 3 pi/ 4 to degrees
8pi/9
135 degrees
What is the formula to find the period of a sin or cos function?
2 pi/ |b|
What was the longest running broadway show?
The Phantom of the Opera
Given a right triangle, find the measure of the angle whose opposite side measures 16 and whose hypotenuse measures 24.
Inverse sine of (16/24)=x
x = 41.8 or 42 degrees
Given the length of the long leg in a 30-60-90 triangle, it measures 5 sqrt 3. What would the measure of the short leg and the hypotenuse be?
SL: 5
Hyp: 10
What is the coordinate for 150 degrees or 5pi/6 radians?
(- sqrt 3/2, 1/2)
Given the following equation, y = -7/3 sin 4x
What is the amplitude?
7/3
Who was the famous artist behind "The Persistence of Memory (La persistencia de la memoria)" ?
Salvador Dali
A ladder leaning against a wall makes an angle of 65 degrees with the ground. If the foot of the ladder is 11 feet from the base of the wall, what is the length of the ladder?
Cos 65 = 11/x
x = 11/Cos 65
x = 26.02 ft
Given a 30-60- 90 Triangle, where the long leg measures 10, find the value of the short leg and the hypotenuse
SL : 10/sqrt 3
Hyp: 20/sqrt 3
What is the Tangent of 315 degrees?
1
Given the following equation, y = 4/3 tan 5/3x
What is the period?
3pi / 5
What dessert, popular in both New Zealand and Australia and named for a famous Russian dancer, is made from crisp meringue, whipped cream, and fresh fruit?
Pavlova
Daily Double Challenge Question!!!
Given that tangent of an angle is 5/12, find the values of the remaining 5 trigonometric ratios
sin = 5/13 csc= 13/5
cos= 12/13 sec= 13/12
tan= 5/12 cot= 12/5
How do the measures of the special right triangles come into play with the unit circle?
The x and y coordiantes of the unit circle are the values of cos and sin for the 45-45-90 and 30-60-90 triangles simplified.
What is the secant of 120 degrees?
-2
Given the following equation: y = -3/2 sin 8/3x What is the period of the function?
3pi/4
Which abstract expressionist was known for using the “drip technique”?
Jackson Pollock