Question

Tell me basic concepts of trignometry

Answer 1

Trigonometry is a branch of mathematics. It is a central of mathematics. Trigonometry is all about the relation between the sides and angles of the triangles. The father of the trigonometry is “Hipparchus” introduce first trigonometry table. Trigonometry is the subject which is easy to understand if approach in a right manner. Go through the article to understand the basic concepts.

Right Angle Triangle: 

Right angle triangle is a triangle in which one of its interior angle is 90 degree. The opposite side of the right angle triangle is hypothesis and the other two sides are adjacent and opposite.  Basic sin, cos and tan functions are as follows, 

a)Sin θ = Opposite/Hypothesis 
b)Cos θ = Adjacent/Hypothesis
c)Tan θ = Adjacent/Opposite

Pythagoras Theorem:

Pythagoras theorem is used to find the sides of the right angle. Pythagoras theorem is,
(Hypotenuse)^2= (Adjacent)^2 + (Opposite)^2 

Triangle Identities:

Triangle identities are the function. There are some identities which are true for right angle triangles and some are true for all triangles. Understand more about trigonometry identities.

Sine and cosine rule:

Sine and cosine rule are very important in trigonometry. This is useful to solve triangle which is not a right angle. 

Sine rule:

a/sin A = b/sin B = c/sin C

Cosine rule:

a^2 = b^2+c^2-2ab cos A
b^2 = a^2+c^2-2ab cos B
c^2 = a^2+b^2-2ab cos C

Here a, b and c are the side of the triangle.
And A, B and C are the angle of the triangle.