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Question

If cosec6θcot6θ=acot4θ+bcot2θ+c then a+b+c=?

A
0
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B
7
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C
6
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D
1
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Solution

The correct option is B 7
Given, cosec6θcot6θ

=(1+cot2θ)3cot6θ

=cot6θ+3cot4θ+3cot2θ+1cot6θ

=3cot4θ+3cot2θ+1

a=3,b=3,c=1
a+b+c=3+3+1=7

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