Name: Monali Shantaram ItkarCourse: B.EdRoll No:20 Admission No:30

Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics that studies triangles and the relationships between the lengths of their sides and the angles between those sides. 

In below Right angle triangle,Side AB is represented by c,Side BC is represented by a, Side AC is represented by b.

As per the previous diagram, trigonometric formulae are as below;

The reciprocals of these functions are named the cosecant (csc or cosec), secant (sec), and cotangent (cot), respectively:

Trigonometric TableTrigonometric Table

A common use of mnemonics is to remember facts and relationships in trigonometry. For example, the sine, cosine, and tangent ratios in a right triangle can be remembered by representing them as strings of letters. For instance, a mnemonic is a way to remember the letters is to sound them out phonetically (i.e., SOH-CAH-TOA, which is pronounced 'so-kə-tow'-uh').

nic for English speakers is SOH-CAH-TOA: Sine = Opposite ÷ Hypotenuse Cosine = Adjacent ÷ Hypotenuse Tangent = Opposite ÷ Adjacent

There are an enormous number of uses of trigonometry and trigonometric functions.

For instance, the technique of triangulation is used in astronomy to measure the distance to nearby stars

In geography to measure distances between landmarks, and in satellite navigation systems.

The sine and cosine functions are fundamental to the theory of periodic functions such as those that describe sound and light waves.

music theory audio synthesis acoustics optics

financial markets

electronics probability statistics

biology medical imaging

pharmacy chemistry

seismology meteorology oceanography And many more

Identities are those equations that hold true for any value.

What is definition of Trigonometry? Which angles are used to define

Trigonometric functions? Uses of Trigonometry?

William Bragg Ewald (2008). From Kant to Hilbert: a source book in the foundations of mathematics. Oxford University Press US. p. 93. ISBN 0-19-850535-3

Kelly Dempski (2002). Focus on Curves and Surfaces. p. 29. ISBN 1-59200-007-X

Weisstein, Eric W., "SOHCAHTOA", MathWorld. A sentence more appropriate for high schools is

"Some old horse came a'hopping through our alley". Foster, Jonathan K. (2008). Memory: A Very Short Introduction. Oxford. p. 128. ISBN 0-19-280675-0.