Question

Mathematicians who worked for the development of trigonometry?

List the formulas and uses of trigonometry in various field?

Answer 1

The first use of the idea of 'sine'' is given by Aryabhata.

Formulas in trigonometry are:-

consider a right angle ∆,
then,
↪Trigonometric ratio

Sin=1/Cosec

Cos=1/Sec

tan=1/Cot

Sin=perpendicular/hypotenuse

Cos=base/hypotenuse

tan=perpendicular/base

Cosec=hypotenuse/perpendicular

sec=hypotenuse/base

cot=base/hypotenuse

↪tan can be written as
tan=sin/cos

↪identities:-

sin²A+ cos²A=1

1+tan²A=Sec²A

Cot²A+1=cosec²A

↪Trigonometric ratio of complementary angles

sin(90°-A)=cosA

tan(90°-A)=cotA

sec(90°-A)=cosecA

It's uses:-

it is generally used to get the side or length of side of some monument or high thing by only when one angle and one side is given.


@Altaf