Question

prove that =tan 75°-tan30°-tan75°tan30°=1

Answer 1

Since 45+30=75

Taking tan both sides we get,

Tan(45+30)=tan75

Since , tan(A+B)=tanA +tanB/ 1-tanAtanB

So,

tan45+tan30/1-tan45tan30 =tan 75

1+tan30=tan75-tan75tan45tan30

1=tan 75-tan30-tan75tan30

Hence,proved

Hope it helps you.....