Trigonometric Equations and Solutions

These flashcards cover key vocabulary related to solving trigonometric equations and concepts discussed in the lecture.

Trigonometric Equations

Equations involving trigonometric functions that must be solved for unknown angles.

General Solution

The complete set of solutions to a trigonometric equation expressed in terms of a variable (k) representing integer multiples of the angle.

Unit Circle

A circle of radius one centered at the origin of a coordinate plane that is used to define trigonometric functions.

Quadrant

One of the four sections created by dividing the coordinate plane with the x-axis and y-axis.

Sine (sin)

A trigonometric function that relates the angle to the ratio of the opposite side to the hypotenuse of a right triangle.

Cosine (cos)

A trigonometric function that relates the angle to the ratio of the adjacent side to the hypotenuse of a right triangle.

Tangent (tan)

A trigonometric function that relates the angle to the ratio of the opposite side to the adjacent side of a right triangle.

PI (π)

A mathematical constant approximately equal to 3.14159, representing the ratio of a circle's circumference to its diameter.

K (k)

An integer used in trigonometric equations to represent multiple solutions, often seen in general solutions of periodic functions.

Negative angles

Angles measured in the clockwise direction from the positive x-axis, corresponding to negative values of sine and cosine.