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If U n = 2 cos nx(x=theta) then U 1 U n − U n-1 is equal to

If Un = 2 cos nx(x=theta) then U1Un − Un-1 is equal to

Grade:12

1 Answers

Piyush Rana
6 Points
4 years ago
U1un – un – 1
2cosx.2ccosnx – 2cos(n – 1)x
4cosx.cosnx – 2(cosnxcosx – sin(nx)sinx)
4cosxcosnx – 2cosnxcosx + 2sin(nx)sinx
2cosnxcosx + 2 sin(nx).sinx
2(cosnxcosx + sin(nx)sinx)
2cos(n+1)x.
 

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