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Question

The value of sin12sin48sin54 is equal to.

A
23
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B
12
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C
18
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D
13
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Solution

The correct option is C 18
Consider, sin12osin48osin54o

=(sin12osin48o)sin54o

=12(cos(1248)cos(12+48))sin(90o36o) ..... [Using sinasinb formula]

=12(cos36ocos60o)cos36o ........ [cos(x)=cosx and sin(90ox)=cosx]

=12(5+1412)(5+14) [cos36o=5+14,sin36o=514]

=12×4×4(5+12)(5+1)

=132(51)(5+1)

=132(51)

=432=18

Hence, sin12osin48osin54o=18

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