Trigonometry is a branch of mathematics focused on the relationships between the side lengths and angles of triangles, deriving its name from Greek words for triangle and measure. In a right triangle, the longest side is called the hypotenuse, with the opposite and adjacent sides defined relative to a given angle. Key trigonometric ratios include sine, cosine, and tangent, each defined using specific relationships of the triangle's sides.

1. TRIGONMETRY
(MATHEMATICS BRANCH)

2. THAT STUDIES RELATIONSHIPS BETWEEN SIDE
LENGTHS AND ANGLES OF TRIANGLES.

3. THE WORD TRIGONOMETRY COMES FROM THE
GREEK WORDS TRIGONON (“TRIANGLE”) AND
METRON (“TO MEASURE”).

4. The hypotenuse of a right triangle is always the side opposite
the right angle. It is the longest side in a right triangle.
The other two sides are called the opposite and adjacent sides.
These sides are labeled in relation to an angle.
The opposite side is across from a given angle.
The adjacent side is the non-hypotenuse side that is next to a
given angle.

5. Trigonometric ratios in right triangles
The ratios of the sides of a right triangle are called
trigonometric ratios.
Three common trigonometric ratios are
the sine (sin),
cosine (cos)
and tangent (tan)

6. A way to remember the definitions of the three most common trigonometry functions: sin,
cos and tan.
SOH Sine = Opposite over Hypotenuse. sin x=O/H
CAH Cosine = Adjacent over Hypotenuse. cos x= A/H
TOA Tangent = Opposite over Adjacent. tan x =O/A
SOH CAH TOA – trigonometry;

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