Math Problem Statement

Solve the given trigonometric expressions involving sine, cosine, and tangent functions.

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Trigonometric Identities
Angle Transformations

Formulas

sin(A ± B) = sinA cosB ± cosA sinB
cos(A ± B) = cosA cosB ∓ sinA sinB
tan(A ± B) = (tanA ± tanB) / (1 ∓ tanA tanB)

Theorems

Angle Sum and Difference Identities
Even-Odd Properties of Trigonometric Functions
Periodic Properties of Trigonometric Functions

Suitable Grade Level

High School (Grades 10-12)

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