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  • 6.1

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  • Trigonometric Identities
    Reference Angle Measures
    Basic Trigonometry Ratios

    Pythagorean Theorems

    Quotient Identities

    Reciprocal Identities

    180?

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  • 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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  • 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.

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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 Line

    Ax + By + C = 0

    Standard Form of a Line

  • 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 Line

    Ax + By + C = 0

    Standard Form of a Line

  • 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.

  • 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.

  • Gorbotron USA

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  • HOW HARD IS TRIG?
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