Question

If tan A = 1 then show than 2 sin A cos A =1

Answer 1

Answer:

If tanA = 1 then 2sinAcosA = 1.

Step-by-step explanation:

Given tanA = 1

=> tan A = tan 45°

=> A = 45° ---(1)

Now ,

LHS = 2sinAcosA

= sin2A

= sin (2× 45°)

= sin 90°

= 1

= RHS

Hence, proved.

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