## Math Problem Statement

Solve 6,7,8

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Functions

Trigonometric Identities

### Formulas

F(x, y) = x^2 - y^2

cos(θ + φ) = cosθcosφ - sinθsinφ

sin(θ + φ) = sinθcosφ + cosθsinφ

### Theorems

Angle Sum Identities

Trigonometric Symmetry

### Suitable Grade Level

Undergraduate or Advanced High School

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