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What is the formula of:- tan ( Ø 1 + Ø 2 + Ø 3 + …….. + Ø n) ?

What is the formula of:-


tan (Ø1 + Ø2 + Ø3 + …….. + Øn) ?

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
tan(A1+A2+A3+..............+AN)= (S1-S3+S5-S7+..........)/(1-S2+S4-S6+............)
Where S1=tanA1+tanA2+.....+tanAn
=the sum of the tangents of the separate angles
S2=tanA1tanA2+tanA2tanA3+........
=sum of the tangents of taken two at a time.
S3=tanA1tanA2tanA3+tanA2tanA3tanA4+...........
=sum of the tangents taken three at a time and so on.
Thanks & Regards
Rinkoo Gupta
askIITians Faculty

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