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Trigonometric Identities
Reference Angle Measures
Basic Trigonometry RatiosPythagorean Theorems
Quotient Identities
Reciprocal Identities
180?
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Station 1:
Write the equation for a circle with a diameter that has endpoints of (1, 5) and (12, -2).Station 2:
Find an equation for the hyperbola with center at (1, -2) and vertices at (4, -2) and (-2, -2), with a conjugate axis of length 10.Station 3:
Determine an equation for the parabola with focus (3, 6) and directrix y = -2. -
Name:______________________________ Date:_____________________________
Midterm Review (continued)
53. Solve the triangle ABC given a = 9, b= 7, c = 5.54. Solve the triangle ABC given a = 7, b=6, measure of angle A=26.3?.
55. Find the area of a triangle with sides 13, 15, 18.
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Analytical Geometry
Formulas and Equations:
Midpoint Formula of P(x1, y1), P?(x2, y2):Distance Formula of P(x1, y1), P?(x2, y2):
Slope-Intercept Form
y = mx + b
Point-Slope Form
y2 - y1 = m(x2 - x1)
General Form of a LineAx + By + C = 0
Standard Form of a Line
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Analytical Geometry Final Review Courtesy of Your Friend: Daryll Mu?oz
Formulas and Equations:
Midpoint Formula of P(x1, y1), P?(x2, y2):Distance Formula of P(x1, y1), P?(x2, y2):
Slope-Intercept Form
y = mx + b
Point-Slope Form
y2 - y1 = m(x2 - x1)
General Form of a LineAx + By + C = 0
Standard Form of a Line
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An ellipse is the set of points such that the sum of the distances from any point on the ellipse to two other fixed points is constant. The two fixed points are called the foci (plural of focus) of the ellipse.
Figure %: The sum of the distances d1 + d2 is the same for any point on the ellipse.
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Analytic geometry is roughly the same as plane geometry except that in analytic geometry, figures are studied in the context of the coordinate plane. Instead of focusing on the congruence of shapes like plane geometry, analytic geometry deals with the coordinates of shapes and formulas for their graphs in the coordinate plane. Much of analytic geometry focuses on the conics.
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Gorbotron USA
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HOW HARD IS TRIG?
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