Arc Length and Sector Area
Trig FUNctions!
Radians and Degrees
Unit 1 Rewind
Grab Bag
100
When calculating arc length or sector area, the angle measure must be in this unit.
What are radians?
100
This made-up word is a mnemonic device to help us remember that Sine = opposite/hypotenuse, Cosine = adjacent/hypotenuse, and Tangent = opposite/adjacent.
What is SOHCAHTOA?
100
It's 270 degrees, in radians.
What is 3 pi/2 radians?
100
In the equation 9x - 7 = -7, this is the value of x.
What is x = 0?
100
It's the radius of the unit circle.
What is 1 unit?
200
This is the length of an arc subtended by a 90 degree angle in a circle with a radius of 10 inches.
What is 5 pi inches?
200
This function is the reciprocal function of tangent.
What is tangent?
200
It's pi/3 radians, in degrees.
What is 60 degrees?
200
In the equation 5x + 3 = 23, this is the value of x.
What is x = 4?
200
In a right triangle with legs of lengths 8 and 12, this is the length of the hypotenuse.
What is 14.42?
300
It's the area of sector formed by the angle pi radians in a circle with a radius of 8 feet.
What is 32 pi feet squared?
300
This function is defined as hypotenuse/opposite.
What is cosecant?
300
It's 225 degrees, in radians.
What is 5 pi/4 radians?
300
It's this expression, simplified:
What is 3p^3 - 3p^2 - 12?
300
In a right triangle with a hypotenuse with a length of 5, and one leg with a length of 3, this is the length of the other leg?
What is 4?
400
This is the length of the arc subtended by a 180 degree angle in a circle with a radius of 12 centimeters.
What is 12 pi centimeters?
400
It's the sine of 30 degrees.
What is 1/2? (Or, what is 0.5?)
400
It's 2 pi radians, in degrees.
What is 360 degrees?
400
This is the name of ONE of the methods we can use to multiply binomials.
What is the FOIL method, or the box method, or the rainbow method?
400
In this triangle: , it's the cosine of angle theta.
What is 15/17?
500
It's the area created by an angle of 11pi/6 radians in a circle with a radius of 10 inches.
What is 550pi/6 inches squared? (Or, what is 275pi/3 inches squared?)
500
It's the inverse tangent of 1.
What is 45 degrees or pi/4 radians?
500
It's 315 degrees, in radians.
What is 7 pi/4 radians?
500
This is what every student should be doing when the bell rings at the beginning of each class period.
What is sitting down and working on the warm up?
500
In this triangle: , it's the cotangent of angle theta.
What is 15/8?