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Common Values of Sine, Cosine, & Tangent definitions

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  • Unit Circle
    A circle with radius one, used to relate angles to coordinates where X and Y represent cosine and sine values.
  • First Quadrant
    The section of the unit circle where angles from 0 to 90 degrees are visualized, often using the left hand rule.
  • Cosine
    The X-coordinate of a point on the unit circle corresponding to a given angle, often found using memorization methods.
  • Sine
    The Y-coordinate of a point on the unit circle for a specific angle, determined by counting or finger rules.
  • Tangent
    A value calculated by dividing the Y-coordinate by the X-coordinate for a given angle, often simplified by rationalizing.
  • 123 Rule
    A memorization technique for common trig values, involving counting clockwise and counterclockwise around the unit circle.
  • Left Hand Rule
    A visual method using fingers to represent angles and count values for sine, cosine, and tangent in the first quadrant.
  • Square Root Property
    A simplification method where trig values are expressed as the square root of a number divided by two.
  • Rationalized Denominator
    A process of rewriting fractions so the denominator contains no radicals, often used for tangent values.
  • Common Angles
    Frequently used angles in trigonometry, specifically 30, 45, and 60 degrees, with easily memorized trig values.
  • X Value
    The horizontal coordinate on the unit circle, representing the cosine of an angle.
  • Y Value
    The vertical coordinate on the unit circle, representing the sine of an angle.
  • Base
    The horizontal side of a triangle formed by a point on the unit circle, corresponding to the cosine value.
  • Height
    The vertical side of a triangle formed by a point on the unit circle, corresponding to the sine value.
  • Denominator
    The bottom part of a fraction in trig values, often simplified or rationalized for clarity.