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Question

Find the value of the sin50cos40+cosec 40sec504cos50cosec 40+2sin45˚cos45˚.

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Solution

sin50cos40+cosec 40sec504cos50.cosec 40+2sin45˚cos45˚

=sin(9040)cos40+cosec (9050)sec504cos(9040).cosec 40+21212

=cos40cos40+sec50sec504sin40.cosec 40+1

=1+14+1=1

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