Page 2: Angle Relationships and Inverse Functions

This page details the relationships between angles and introduces inverse trigonometric functions.

Definition: Inverse trigonometric functions (arcsin, arccos, arctan) find the angle when given a trigonometric ratio

Highlight: Key angle relationships:

• sin(-x) = -sin(x)
• cos(-x) = cos(x)
• tan(-x) = -tan(x)

Example: For 45° angles: sin(45°) = cos(45°) = √2/2

Vocabulary: Angular units conversion: 360° = 2π radians

Page 3: Triangle Problem Solving

This page focuses on practical applications and the sine theorem.

Example: A building height problem using angles of elevation (45° and 40°) demonstrates practical trigonometry application

Definition: The sine theorem states that in any triangle, the ratio of the sine of an angle to the length of the opposite side is constant

Highlight: The sine theorem is particularly useful when solving triangles with known angles and at least one known side

Page 4: Cosine Theorem and Triangle Resolution

This page covers the cosine theorem and its applications in triangle resolution.

Definition: The cosine theorem states that a² = b² + c² - 2bc·cos(A)

Example: Detailed solution of a triangle with sides 12 and 9, and an angle of 60°, resulting in the third side being √117

Highlight: The cosine theorem is especially useful when three sides are known or two sides and their included angle