Trigonometry

Definition of a Right-Angled Triangle

A right-angled triangle is a triangle in which one of the angles is a right angle (90 degrees).

Trigonometric Ratios

In a right-angled triangle, there are three main trigonometric ratios:

Sine (sin): The ratio of the opposite side to the hypotenuse.

Cosine (cos): The ratio of the adjacent side to the hypotenuse.

Tangent (tan): The ratio of the opposite side to the adjacent side.

Pythagoras' Theorem

In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Finding Unknown Sides and Angles

Using the trigonometric ratios and Pythagoras' Theorem, you can find the unknown sides and angles in a right-angled triangle.