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Question

The value of sin310+sin350sin370 is equal to


A

32

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B

34

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C

34

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D

38

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Solution

The correct option is D

38


We have sin310+sin350sin370

=14[(3sin10sin30)+(3sin50sin150)(3sin70sin210)]

=14[3(sin10+sin50sin70)32]

=14[3(sin102cos60.sin10)32]=38


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