Question

If tanA=1,then 2sinA cosA=​

Answer 1

Step-by-step explanation:

tanA=1

→tanA= tan45°

→A = 45°

Then,

2sinA cosA

= 2sin45°cos45°

= 2/√2 . 1/√2

= 2/2

= 1

Answer 2

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$\huge\underline\mathfrak\green{given }$

tan A = 1

↪ A = π/4 or 45°

then ,

2 sinA cos A

= 2 × sin45° × cos 45°

$= 2 \times \frac{1}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} }$

$= \frac{2}{2} = 1$

other method :

we know that

sin 2A = 2 sinA cos A

then ,

2 sinA cos A

= sin 2A

$= \sin(2 \times 45)$

$= \sin(90)$

$= 1$

I hope it helps you!