Question

14.
If tan A =1, then 2 sin A cos A =​

Answer 1

Answer:

$\red { Value \: of \: 2 sinAcosA} \green {= 1}$

Step-by-step explanation:

$tan A = 1 ( given )$

$\implies tan A = tan 45 \degree$

$\implies A = 45\degree$

$Value \: of \: 2 sinAcosA \\= sin 2A \\= sin \: (2\times 45\degree) \\= sin \: 90\degree \\= 1$

Therefore.,

$\red { Value \: of \: 2 sinAcosA} \green {= 1}$

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Answer 2

$\sf \fcolorbox{green}{pink}{ \huge{Solution :)}}$

Given ,

• Tan(A) = 1 , So

Tan(A) = Tan(45)

A = 45

Therefore ,

$\sf \mapsto 2Sin(A)Cos(A) \\ \\ \sf \mapsto</p><p>Sin(2A) \: \: \: \{ \because 2Sin(A)Cos(A) = Sin(2A) \} \\ \\ \sf \mapsto</p><p>Sin(2 × 45) \\ \\ \sf \mapsto</p><p>Sin(90) \\ \\ \sf \mapsto</p><p>1$

Hence , The required value of us 2sin(A)cos(A) is 1

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