Question

if tan A = 1 then 2sinA.cosA=
​

Answer 1

Answer:

1

Step-by-step explanation:

In △ABC, ∠ABC=90  

tan A=BC/AB

BC=AB

let AB=BC=k, where k is a positive number

now AC2=AB2+BC2

  AC2=K2+K2

  AC=k$\sqrt{2}$

NOW SIN A = BC/AC=$\frac{1}{\sqrt{2}}$

COS A= AB/AC = $\frac{1}{\sqrt{2}}$

NOW 2sin Acos=1