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Question

Sin48.sec42+cos48.cosec42= ........


Solution

 sec 42 = cosec (90-42) = cosec 48
      cosec 42 = sec (90-42) = sec 48
       
       sin 48 sec 42 + cos 48 cosec 42
              = sin 48 cosec 48 + cos 48 sec 48 
              =  1 + 1 = 2                                ( sin 48 cosec 48=sin48/sin48 =1    and cos 48 sec 48,cos48/cos48 =1)

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