A Beginner's guide to Trigonometry

My course is on Trigonometry. In this course the students will learn

1. how to find a side of a right angled triangle using Pythagoras theorem.

2. how to solve problems involving Pythagoras theorem.

3. Find the side of a right angled triangle and an angle of a right angled triangle using trigonometric ratios like sine, cosine and tangent for the acute angles.

4. Solving trigonometric problems in two dimensions.

5. Moreover the students will also learn the applications of trigonometry.

About a scientist : Leonard Euler (1707-1783) was born in Switzerland but later moved to Russia and Berlin. He had an amazing facility for figures but delighted in the speculations in the realms of pure intellect. In Trigonometry he introduced the use of small letters for the sides and capitals for the angles of the triangles. He also wrote R, r and s for the radius of the inscribed and of the circumscribed circles.

Trigonometry (from Greek trigōnon, "triangle" and metron, "measure"[1]) is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.[2] The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine.[3]

Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation.[4]

Trigonometry is known for its many identities. These trigonometric identities[5][6] are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation.[7]