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Trigonometry in non-right angled triangles involves the sine and cosine rules to find unknown angles, sides, and areas. The sine rule, expressed as a ratio of side length to sine of its opposite angle, helps calculate missing values when at least one side-angle pair is known. The cosine rule, formulated to find a side or angle using known side lengths and included angles, is crucial when the sine rule is inapplicable. Additionally, a trigonometric formula for calculating a triangle's area without its height is also discussed, showcasing the versatility of trigonometric applications in geometry.

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## Trigonometry

### Right-Angled Triangles

Trigonometry is used to solve problems involving right-angled triangles

### Non-Right Angled Triangles

Sine Rule

The sine rule is a trigonometric relation used to find missing sides or angles in non-right angled triangles

Cosine Rule

The cosine rule is a fundamental formula for calculating unknown sides or angles in triangles

### Area of a Triangle

Trigonometry provides a formula for calculating the area of a triangle without the need for its height

## Trigonometric Laws and Formulas

### Sine Rule

The sine rule is a set of trigonometric laws and formulas used to determine unknown angles, sides, and areas within any triangle

### Cosine Rule

The cosine rule is another fundamental trigonometric formula used for solving geometric problems involving triangles

### Area Formula

The trigonometric formula for the area of a triangle is derived from the standard area formula and is useful for finding the area when the height is not easily measurable

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