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Question

cos20cos40cos60cos80=.....

A
12
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B
122
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C
123
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D
124
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Solution

The correct option is D 124
cos20cos40cos60cos80

=12sin202sin20cos20cos40cos60cos80

=12sin20sin40cos40cos60cos80

=122sin202sin40cos40cos60cos80

=122sin20sin80cos60cos80

=123sin202sin80cos80×12

=124sin20sin160

=124sin20sin(18020)

=124sin20sin20=124

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