Definition: Linear equations in sine and cosine are equations of the form asinx + bcosx + c = 0, where a, b, and c are constants.

Highlight: The page introduces two main methods for solving linear trigonometric equations: the graphical method and the algebraic method using the tangent half-angle substitution.

Example: For the equation 3sinα = cosβ, the solution is α = ±$π/2 - β$ + 2kπ, where k is an integer.

Vocabulary: Associated angles are pairs of angles that have the same trigonometric function values or related values.

Example: sin$π/2 - α$ = cosα, demonstrating the relationship between complementary angles.

Highlight: The page provides a comprehensive table of angle measures from 0° to 360° in both degrees and radians, which is essential for quick reference in trigonometric calculations.

Definition: The law of sines states that the ratio of the sine of an angle to the opposite side is constant for all angles in a triangle.

Example: The area of any triangle can be calculated using the formula A = $1/2$ab sinC, where a and b are side lengths and C is the included angle.

Highlight: This page demonstrates how trigonometric concepts can be applied to solve real-world problems involving triangles and circular segments.

Highlight: The page provides a comprehensive overview of fundamental trigonometric relationships, crucial for solving complex trigonometric problems.

Example: For angle addition, sin(α ± β) = sinα cosβ ± cosα sinβ

Vocabulary: Prosthaphaeresis refers to a method of computing products using trigonometric identities.