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Anonymous users2024-02-07The trigonometric transformation formula is as follows:1、sin(-αsinα
2、cos(-αcosα
3、sin(π/2-α)cosα
4、cos(π/2-α)sinα
5、sin(π/2+α)cosα
6、cos(π/2+α)sinα
7、sin(π-sinα
8、cos(π-cosα
9. Finger trace sin ( +sin
10、tanα=sinα/cosα
11, tan (2) comic cot 12, tan (2) rush to make cot
13、tan（π－tanα
14、tan（π＋tanα
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Anonymous users2024-02-06The trigonometric conversion formula is as follows:
sin(π-a )=sin a
cos(π-a )=cos a
sin(π/2-a )=cos a
cos ( 2-a )=sin a
sin( π2+ a )=cos a
cos( π2+a )=sin a
sin(π a )=sin a
cos( πa )=cos a
sin(π+a )=sin a
tan a =sin a /cos a
tan ( 2+a ）=cot a
tan ( 2-a ）=cot a
Origin:
From the 5th century to the 12th century, Indian mathematicians made great contributions to trigonometry. Although trigonometry was still a computational tool of astronomy at that time, it was greatly enriched by the efforts of Indian mathematicians.
The concepts of "sine" and "cosine" in trigonometry were first introduced by Indian mathematicians, who created a more accurate sine table than Ptolemy's.
We already know that the string table created by Ptolemy and Hippak was a full chord table of circles, which corresponded the arc to the string between the arc. Indian mathematicians are different in that they correspond the half of the half of the arc (AD) to the full chord, i.e., AC to AOC, so that they no longer have a "full string table", but a "sine table".
The people of Insanshu called the strings (ab) at both ends of the connecting arc (ab) as "jiba", which means bowstring; Call half of AB (AC) "Alhajiwa". Later, when the word "jiwa" was translated into Arabic, it was misunderstood as "bending" and "recessed", and the Arabic word is "dschaib". In the twelfth century, Arabic was translated into Latin, and the word was transliterated as "sinus".
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