Question

The history of trigonometry goes back to the earliest recorded mathematics in Egypt and \[\]
A. German\[\]

B. Indian \[\]

C. Babylon\[\]

D. Japanese\[\]

Answer 1

Hint: We recall the history of trigonometry in of Germany, India, Babylon, and Japan. We reject options Germany and Japan because they came into existence in 2nd millennium. We know that the history of trigonometry in India began in the 5th century, so we reject that option. The only option left is Babylon where astronomers expanded the trigonometric ideas from Egypt. \[\]

Complete step by step answer:
W know that in that Germany is country came into existence in the 2nd millennium and Japan’s history of mathematics in the 15th century AD but trigonometry was discovered way earlier. So we reject both of the options A and D. \[\]

We investigate option B , India. We know that India had its history of trigonometry beginning from 5th to 6th century AD. We find its proof in the Siddhantas or specifically Surya Siddhanta which defined the sine as the modern relationship between half an angle and half a chord, while also defining the cosine and inverse sine. Then Aryabhatta collected and expanded upon the developments of the Siddhantas in an important work called the Aryabhatiya where the values of 1-cosine are given. Later Madhava discovered sine, cosine and tangent series. \[\]


The trigonometry began when astronomers in 2nd millennium BC in Egypt and then Babylon recorded the rising and setting of stars, the motion of the planets, and the solar and lunar eclipses, all of which required familiarity with angular distances measured on the celestial sphere. The first record is found in papyrus by a scribe Ahmes as “If a pyramid is 250 cubits high and the side of its base 360 cubits long, what is its seked ?” \[\]

Note:
 The trigonometry after Babylonian astronomers was expanded by Greek mathematicians like Euclid and Pythagoras, Al-Khwarizmi in the 10th century, and then by Gershon in 14th-century renaissance Europe.