# trigonometry definitions

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One of the shorter two sides in a right-angled triangle. The side adjacent or next to the given angle
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hypoteneuse
The longest side of a right-angled triangle. The side opposite the right-angle
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opposite
one of the shorter two sides in a right-angled triangle. The side opposite the given angle.
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Trigonometric functions
Functions of angles. The main trigonometric functions are sine, cosine and tangent, as well as their reciprocal. These functions relate the angles in the triangle to the lengths of its sides. Can also be described as ratios of two sides of a triangle
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SOH
For a right angled triangle with a given angle A, opposite side a and hypoteneuse c, sine(A)=a/c
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CAH
For a right angled triangle with a given angle A, adjacent side b and hypoteneuse c, cosine(A)=b/c
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TOA
For a right angled triangle with a given angle A, opposite side a and adjacent side b, tangent(A)=sine(A)/cosine(A)=a/b
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Sine rule
for a triangle where the given/desired information includes two side lengths and two angles, a/Sin(A)=b/Sin(b)=c/Sin(C), where angle A is opposite to side length a
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Cosine rule
For a triangle where the given/desired information includes 3 sides and 1 angle, a^2=b^2+c^2-2bcCos(A), where a, b and c are side lengths and A is the angle opposite to a
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## Other cards in this set

### Card 2

#### Front

The longest side of a right-angled triangle. The side opposite the right-angle

hypoteneuse

### Card 3

#### Front

one of the shorter two sides in a right-angled triangle. The side opposite the given angle.

### Card 4

#### Front

Functions of angles. The main trigonometric functions are sine, cosine and tangent, as well as their reciprocal. These functions relate the angles in the triangle to the lengths of its sides. Can also be described as ratios of two sides of a triangle

### Card 5

#### Front

For a right angled triangle with a given angle A, opposite side a and hypoteneuse c, sine(A)=a/c