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Evaluate Composite Trig Functions definitions

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  • Composite Function
    An expression with one trigonometric function nested inside another, solved by evaluating the innermost function first.
  • Unit Circle
    A circle with radius 1 centered at the origin, used to determine trigonometric values for standard angles.
  • Right Triangle
    A triangle with one 90-degree angle, useful for finding trigonometric ratios when values are not on the unit circle.
  • Inverse Function
    A function that reverses the effect of a trigonometric function, with outputs restricted to specific intervals.
  • Interval
    The range of angles or values allowed for inverse trigonometric functions, ensuring valid solutions.
  • Quadrant
    One of four regions in the coordinate plane, determining the sign of trigonometric values based on angle location.
  • Pythagorean Theorem
    A formula relating the sides of a right triangle, used to find missing side lengths for trigonometric calculations.
  • SOHCAHTOA
    A mnemonic for remembering sine, cosine, and tangent ratios in right triangles: Sine=Opposite/Hypotenuse, etc.
  • Undefined Value
    A result outside the allowable range for a function, such as an inverse sine of a number greater than 1.
  • Argument
    The input value or angle for a trigonometric function, which may be positive or negative and affect quadrant placement.
  • Cosine
    A trigonometric ratio representing the adjacent side over the hypotenuse in a right triangle or x-coordinate on the unit circle.
  • Sine
    A trigonometric ratio representing the opposite side over the hypotenuse in a right triangle or y-coordinate on the unit circle.
  • Tangent
    A trigonometric ratio representing the opposite side over the adjacent side in a right triangle or slope on the unit circle.
  • Hypotenuse
    The longest side of a right triangle, opposite the right angle, essential for calculating trigonometric ratios.
  • Adjacent Side
    The side next to the angle of interest in a right triangle, used in cosine and tangent calculations.