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HISTORY (MUGHAL EMPIRE)

BABUR Descendent of Timur (from his father side) and Genghis khan (from his mother side)It is said that he was invited in India by Daulat Khan Lodi and Alam kha lodiHe laid the foundation of the Mughal empire by defeating Ibrahim Lodi in the first battle of Panipat on 21, April 1526.In 1527, he defeated Rana Sanga of Mewar at Khanwa.In 1528, he defeated Medini Rai of Chaneri at Chanderi.In 1529, he defeated Muhammad Lodhi (uncle of Ibrahim Lodhi) at Ghaghra.In 1530, he died at Agra. His tomb is at Lahore. The tomb of only two Mughal emperors are outside India i.e. Babur & Bahadur Shah ZafarHe was the first to use gunpowder & artillery in India.Two gun masters Mustafa & Ustad Ali were in his armyHe wrote his autobiography Tuzuk-i-Baburi in Turki.Tuzuk-i-Baburi was translated in Persian (named Baburnama) by Abdur Rahim Khan-e-khana & in English by Madan Bebridge.He compiled two anthologies of poems, Diwan (in Turki) & Mubaiyan (in Persian). He also wrote Risal-i-Usaz …

MATH MENSURATION 2-D

MATH TRIGONOMETRY

The only way to learn MATHEMATICS is to do MATHEMATICS



Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations  sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). The word trigonometry comes from the Greek words trigonon (“triangle”) and metron (“tomeasure”). The first use of the idea of ‘sine’ in the way we use it today was in the work Aryabhatiyam by Aryabhata, in A.D. 500. Aryabhata used the word ardha-jya for the half-chord, which was shortened to jya or jiva in due course. When the Aryabhatiyamwas translated into Arabic, the word jiva was retained as it is. The word jiva was translated into sinus, which means curve, when the Arabic version was translated into Latin. Soon the word sinus, also used as sine, became common in mathematical texts throughout Europe. An English Professor of…