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Common Values of Sine, Cosine, & Tangent definitions Flashcards

Common Values of Sine, Cosine, & Tangent definitions
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  • Unit Circle
    A circle with radius 1 centered at the origin, used to relate angles to coordinates representing trigonometric values.
  • First Quadrant
    The section of the coordinate plane where both x and y values are positive, corresponding to angles from 0 to 90 degrees.
  • Cosine
    The x-coordinate of a point on the unit circle corresponding to a given angle, often found using the square root over 2 rule.
  • Sine
    The y-coordinate of a point on the unit circle for a given angle, commonly determined by counting and using the square root over 2.
  • Tangent
    A trigonometric value calculated by dividing sine by cosine for a given angle, often simplified using square roots.
  • Square Root Over 2 Rule
    A method for finding sine and cosine values of common angles by placing the square root of a counted number over 2.
  • 123 Rule
    A memorization technique for trig values, involving counting 1, 2, 3 clockwise and counterclockwise to assign values to angles.
  • Left Hand Rule
    A visual mnemonic using fingers to represent angles and count above or below a folded finger to find trig values.
  • Common Angles
    Frequently used angles in trigonometry, specifically 30, 45, and 60 degrees, with easily memorized sine, cosine, and tangent values.
  • Denominator Rationalization
    A process of removing square roots from the denominator of a fraction, often used in simplifying tangent values.
  • Base
    The horizontal side of a right triangle in the unit circle, corresponding to the cosine value of an angle.
  • Height
    The vertical side of a right triangle in the unit circle, corresponding to the sine value of an angle.
  • Numerator
    The top part of a fraction, which in trigonometric ratios often involves a square root based on finger counting or angle position.
  • Denominator
    The bottom part of a fraction, typically 2 in the square root over 2 rule for sine and cosine values.
  • First Quadrant Angles
    Angles between 0 and 90 degrees, where all trigonometric values are positive and memorization techniques are commonly applied.