Here's a plain text explanation of "Basic Trigonometry":



Introduction:

Trigonometry is a significant branch of mathematics that focuses on the study of triangles, specifically the relationships between their angles and sides. It is widely used in various fields, including engineering, physics, and astronomy.



Understanding Basic Trigonometry:



Trigonometry primarily deals with right-angled triangles, where one angle is exactly 90 degrees.

The main functions in trigonometry are sine (sin), cosine (cos), and tangent (tan), which relate the angles of a triangle to the lengths of its sides.

Trigonometric Ratios:



Sine (sin) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the hypotenuse.

Tangent (tan) of an angle is the ratio of the length of the opposite side to the adjacent side.

Example:



In a right-angled triangle with an angle θ, if the lengths of the opposite side, adjacent side, and hypotenuse are o, a, and h respectively, then:

sin(θ) = o/h

cos(θ) = a/h

tan(θ) = o/a

Applications of Trigonometry:



Trigonometry is used in navigation, surveying, construction, and many areas of science.

It is also fundamental in the study of periodic phenomena like sound and light waves.