Question

Find the value of tan100+tan125+tan100*tan125

Answer 1

Hey there !!!!

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                           100+125=225

                Apply tan on both sides

                         tan(100+125)=tan225

But tan(100+125) is of the form tan(A+B)= tanA+tanB/1-tanAtanB

A=100 B=125

   tan100+tan125/1-tan100*tan125=tan225

But tan(225)=tan(180+45)=tan45=1

So,

         tan100+tan125/1-tan100*tan125=1

         tan100+tan125=1-tan100*tan125

         tan100+tan125+tan100*tan125=1

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Hope this helped you...............