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show that 1/(2sinx)(c o s e c2x-cosec 4x...

show that `1/(2sinx)(c o s e c2x-cosec 4x)=(cos3x)/(sin2xsin4x)`, and hence prove that `(cos 3x)/(sin 2x sin 4x)+(cos 5x)/(sin 4x sin 6x)+(cos 7x)/(sin 6x sin 8x)+.....+n` terms `=1/(2sinx)[cosec 2x-cosec(2n+2)x].`

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