Unit Circle
Is COS the x or y coordinate in the unit circle?
COS, or cosine is the x value in the unit circle.
2pi radians
What is a coterminal angle?
Add or subtract 360 degrees from the angle in standard position.
What variable indicates a midline when graphing a wave based on the equation below?
a+b x cos (ct)
a determines midline (attached at the end of a function)
What is the inverse of SIN?
CSC is the inverse of SIN.
Is SIN the x or y value on the unit circle?
SIN or sine is the y value on the unit circle.
Convert 3pi/8 to degrees.
3pi/8 equals 67.5 degrees
What is a reference angle?
The standard position of the angle to the x axis.
What variable below indicates amplitude?
a+b x cos (ct)
b indicates amplitude (multiplied by cos or sin)
What parts of the triangle does COT cover?
think opposite, adjacent, hypotenuse
COT is adjacent/opposite, which is the inverse of TAN.
What value does each 45 degree angle increase by?
Each 45 degree angle on the unit circle increases by pi/4 radians.
How many radians would be -150 degrees?
-150 degrees equals -5pi/6 radians
Evaluate the csc of 150.
How to you find the period of the equation below?
a+b x cos (ct)
divide 2pi by the c value.
How do you find a missing side length of a triangle while only having two sides.
The quadratic formula!
a^2+b^2=c^2 ( the c value should be the hypotenuse)
What does TAN equal on the unit circle?
TAN= SIN/COS
How much does 1pi equal in degrees?
180 degrees equals 1pi.
negative square root 2 over 2
What is the period of this equation?
1-2cos(x)
The period is 2pi because the c value is 1.
Find the missing side if the hypotenuse is 12 and a side length is 4. Round to the nearest tenth.
The correct answer is 11.3.
What is each quadrant in the unit circle as positive or negatives?
Q1- x is pos, y is pos
Q2- x is neg, y is pos
Q3- x is neg, y is neg
Q4- x is pos, y is neg
Convert 30 degrees to radians and find the SIN of that radian.
30 degrees equals pi/6 and the SIN of pi/6 equals 1/2
Find two coterminal angles of 18 degrees.
378 degrees and -342 degrees
What is the amplitude of this equation?
12+400sin(x)
400 would be the ampitude since it is the b value.
If the triangle is located in the third quadrant, would the sin of that triangle be positive of negative?
The sin would end up being positive because the opposite side in the second quadrant would be positive and hypotenuses are always positive no matter what quadrant you are in.