1.

Trigonometric series of the formsin(A−B)cosA⋅cosB+sin(B−C)cosB⋅cosC+sin(C−D)cosC⋅cosD=tanA−tanD As we know that,sin(A−B)cosA⋅cosB=tanA−tanBBased on the above given information, find nth term of the seriessinxcos3x+sin3xcos9x+sin9xcos27x+⋯ upto n terms

Answer»

Trigonometric series of the form

sin(A−B)cosA⋅cosB+sin(B−C)cosB⋅cosC+sin(C−D)cosC⋅cosD

=tanA−tanD

As we know that,

sin(A−B)cosA⋅cosB=tanA−tanB

Based on the above given information, find nth term of the series

sinxcos3x+sin3xcos9x+sin9xcos27x+⋯ upto n terms



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