Trig Ratios
Laws of Trig
Verifying Trig and Graphs
Applying Trig Ratios and Laws
Interesting Factoids
100
Using this Pneumonic, we can easily remember the trig ratios.
What is Soh Cah Toa?
100
State the law of sine and cosine.
What is
Law of Sine: sin(A)/a=sin(B)/b
Law of Cosine: a^2=b^2+c^2-2*b*c*cos(A)?
100
State how to determine the value of b when given the period of a function.
What is divide 2pi by the given period?
100
From the top of a lighthouse 1400 ft high, the angle of depression to a boat off in the distance is 42 degrees. Find the angle of elevation from the boat to the lighthouse.
What is 42 degrees?
(This is parallel lines cut by a transversal and are alternate interior angles.)
100
Walt Disney was afraid of this small animal.
What is a mouse?
200
You can use trig ratios on this type of triangle.
What are right triangles?
200
Justify whether Law of Sine be applied to the following triangle.
What is no, for law of sine you must have at least one angle measurement paired with the opposite side.
200
Find the phase shift of the following trigonometric function. f(x)=cos(13x-2pi)
What is, Right (2pi)/13 "units?"
200
If a kite has a length of 183.6 feet and it has a horizontal distance 100 feet away from the person flying it, determine the angle of elevation of the string to the nearest degree.
What is 57 degrees.
arccos(100/183.6)
200
On average, your heart will beat this many times today.
What is 100,000 times?
300
Find mangleC.
What is 72?
180-(71+37)
300
Find the length of side b to the nearest hundredth.
What is 11.00?
7/sin(37)=b/sin(71)
300
Simplify the following.
What is sin^2(theta)?
cos(1/(cos) -cos)\to1-cos^2\tosin^2
300
An elephant extends its trunk in the air and observes that it casts a 67 ft shadow, if the altitude of the trunk 14 feet determine the angle of depression from the trunk. Round to the nearest degree.
What is about 12 degrees?
90-arctan(67/14)approx12
300
This presidential debate set in 1960 was the first one ever televised.
What was Kennedy and Nixon?
400
Solve for each variable and round to the nearest tenth.
What is a=12.1, b=14
400
Determine the measurement of angle B to the nearest degree.
What is 145 degrees?
arccos((22^2-14^2-9^2)/(-2*(14)*(9)))
400
Define the part of the following function which makes a vertical compression.
-1/3cos(ypit+omega*pi)+1/5
What is the 1/3?
400
Two people walk in separate directions at an angle of 105 degrees. After an hour, one of them has walked about four and a half kilometers while the other has walked 6 kilometers. Find how far apart are they are.
What is 8.4 kilometers.
400
This behemoth of a mammal is know to visit the graves of their dead in mourning.
What are elephants?
500
Determine the length of the rope that is attached to the top of this tree.
What is 55.08 feet?
30/cos(57)
500
Find every missing measurement on this triangle.
Round to the nearest degree and the nearest tenth for the sides.
What is {see below}?
angleC=180-arcsin((25*sin(22))/10)\approx111
angleB=180-(22+111)=47
AC=(10*sin(47))/sin(22)\approx19.5
500
What is (See Below)?
1/(sin)=sin/(cos)*cos+cos/sin)*cos\to
1/(sin)=sin+cos^2/(sin)\to
1=sin^2+cos^2
1=1
500
Double Jeopardy
Julia wants to measure the length of a lake, to do so, she walks 87 feet along the dam, and then turns 101 degrees to follow the other edge of the lake for another 1140 inches. How long is the lake in feet when rounded to the nearest tenth?
What is 140.5 ft?
1140in is 95ft
"Length"=\sqrt{95^{2}+87^{2}-2\cdot95\cdot87\cos(101\)}
500
This fruit with the name "berry" in it is a liar. It is actually an aggregate fruit.
What are Strawberries?