Standard Form
General Form
Radians v.s Degrees
The Unit Circle
Trig Ratios
100
What is standard form?
(x-h)² +(y-h)² = r²
100
What is general form?
x² +y² +x +y + h=0
100
How do you convert radians to degrees?
radians * 180/π
100
What is 90 degrees on the unit circle?
π/2
100
What are cos, sin and tan equal to? ( that order )
x, y, y/x
200
Identify the center and radius
(x-2)² +(y+6)² =45
Center: (2,-6)
Radius: 3√5
200
Convert (x+4)² +(y-2)² = 17 into general form
x²+8x+y²+-4y+3=0
200
Convert 130 degrees into radians. Leave as a simplified fraction.
13π /18
200
What is 3π/2 radians on the unit circle?
270 degrees
200
what is cos for 90 degrees on the unit circle?
0
300
Write an equation in standard form of a circle with a center at (0,0) that passes through (3,-6).
x² +y² =45
300
What is the general form for (x+3)² +(y-4)²
x² +y² +6x-8y+16=0
300
what is 11 π /26 in degrees
76.15 degrees
300
What are the radians and coordinates for 120 degrees on the unit circle?
(-1/2,√ 3/2) , 2π /3
300
what is the tan for 3π /2
undefined
400
Find the standard form from this equation:
x² +y² +14x-12y+4=0
(x+7)² +(y-6)² =81
400
Give the center and the radius if the general form is
x² + y² -8x +4y-16=0
Center: (4,-2)
Radius: 6
400
What are 92 degrees in radians ?
23π /45
400
-√ 3/2, -1/2 coordinates with which of the following?
5 π /4
7 π /6
4 π /3
5 π /3
7 π /6
400
Which of the following is equal to sin 30 ?
a.) sin -210
b.) cos 30
c.) cos 330
d.) tan 30
A. sin -210
500
Find the equation of a circle in standard form with the following endpoints as the diameter:
(-3,-4),(9,-2)
(x-3)² +(y+3)² = 180
500
If the point (-11,2) is on the circle with a radius of 5 and center of (-7,4), what is the general form?
x² +y² +49x-16y+40=0
500
Convert .821 radians to degrees. (round to the nearest degree)
47 degrees
500
Draw out the whole unit circle
500
Evaluate sin 11π/3
-√3/2