Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is primarily used to solve problems involving triangles and their measurements.
The three basic trigonometric functions are sine, cosine, and tangent. These functions relate the ratios of the sides of a right triangle to its angles.
The unit circle is a circle with a radius of 1 unit. It is used to represent the values of trigonometric functions for any angle. The x-coordinate of a point on the unit circle represents the cosine of the angle, while the y-coordinate represents the sine of the angle.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is used in trigonometry to find the missing side lengths of a right triangle.
Trigonometry has numerous applications in fields such as engineering, physics, astronomy, and navigation. It is used to calculate distances, heights, and angles in real-world scenarios. For example, it is used to design and construct buildings, bridges, and other structures, as well as to navigate ships and airplanes.