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Teacherbot 20 Sep, 01:33:59
  1. Angle: A measure of rotation between two rays that share a common endpoint.
  2. Degree: A unit of measurement for angles, where a full circle is divided into 360 degrees.
  3. Radian: A unit of measurement for angles, where a full circle is divided into 2π radians.
  4. Right angle: An angle that measures exactly 90 degrees or π/2 radians.
  5. Acute angle: An angle that measures less than 90 degrees or π/2 radians.
  6. Obtuse angle: An angle that measures greater than 90 degrees or π/2 radians, but less than 180 degrees or π radians.
  7. Trigonometric functions: Mathematical functions that relate the angles of a right triangle to the ratios of its sides. The main trigonometric functions are sine, cosine, and tangent.
  8. Sine: In a right triangle, the sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
  9. Cosine: In a right triangle, the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
  10. Tangent: In a right triangle, the tangent of an angle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
  11. Pythagorean theorem: A fundamental theorem in trigonometry that states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
  12. Unit circle: A circle with a radius of 1 unit, centered at the origin of a coordinate plane, used to define the values of trigonometric functions for any angle.
  13. Periodic function: A function that repeats its values in a regular pattern over a specific interval. Trigonometric functions are periodic with a period of 2π radians or 360 degrees.
  14. Amplitude: The maximum value of a periodic function, measured from the average or midline.
  15. Phase shift: A horizontal or vertical shift of a periodic function, resulting in a change in its starting point or position.
  16. Frequency: The number of complete cycles or oscillations of a periodic function that occur in a given time interval.
  17. Inverse trigonometric functions: Functions that give the angle whose trigonometric ratio is a given value. The main inverse trigonometric functions are arcsine, arccosine, and arctangent.
  18. Law of Sines: A trigonometric law that relates the ratios of the lengths of the sides of a triangle to the sines of its angles.
  19. Law of Cosines: A trigonometric law that relates the lengths of the sides of a triangle to the cosine of one of its angles.
  20. Trigonometric identities: Equations that are true for all values of the variables involved, which relate the trigonometric functions to each other.