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Question

State true or false

If 3cot A=4, then 1tan2A1+tan2A=cos2Asin2A


  1. True
  2. False


Solution

The correct option is A True

Given 3 cot A=4

cot A=43

tan A=1cot A=34

Therefore, sin A=35 and  cos A=45 ..... (3-4-5 Pythagoras Triplet)

Now, LHS = 1tan2A1+tan2A

=1(34)21+(34)2

=19161+916

=7162516

=725

RHS = cos2Asin2A

=(45)2(35)2

=1625925

=725

LHS=RHS

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