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Question

Find the value of sin3(1099ππ6)+cos3(50ππ3)

A
14
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B
0
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C
3
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D
None of these
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Solution

The correct option is A 14
As we know that
sin(2kπ+θ)=sinθ,kZ
cos(2kπθ)=cosθ,kZ

sin3(1099ππ6)+cos3(50ππ3)=sin3(2(549)π+ππ6)+cos3(2(25)ππ3)

=sin35π6+cos3π3

=(12)3+(12)3

=1+18

=14

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