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Question

If 1+cos56+cos58+cos66=ksin28sin29sin33 , then the value of k is

A
1
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B
3
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C
4
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D
5
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Solution

The correct option is B 4
1+cos56+cos58+cos66
=1+cos56+cos58+cos(180114)
=1+2cos57cos12cos257+1
=2cos57(cos1cos57)
=2cos(9033)(2sin29sin28)
=4sin28sin29sin33

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