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Question

Evaluate the following deteminants :
i)x7x5x+1
ii)cos15sin15sin75cos75

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Solution

i)x7x5x+1=5x2+x+7x=5x2+8x=x(5x+8)
ii)cos15osin15osin75ocos75o

=cos15osin15ocos15osin15o=0 [Since sin15o=cos75o and cos15o=sin75o]


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