Question

if tan A=1,then 2sinA cosA=​

Answer 1

Answer:

tanA = 1

=> tanA = tan45

=> A = 45

now,

2sinAcosA

= 2 *sin 45 * cos45

= 2*(1/√2)*(1/√2)

= 2*½

= 1

Answer 2

2sinA cosA=​ 1 if tan A=1

Step-by-step explanation:

2sinA cosA=​

using SinA = CosA * TanA

= 2CosA * TanA * CosA

= 2Cos²A * TanA

using CosA = 1/SecA

= 2TanA /Sec²A

using Sec²A = 1 + Tan²A

= 2TanA/(1 + Tan²A)

now putting TanA = 1

= 2 (1)/(1 + 1²)

= 2/(1 + 1)

= 2/2

= 1

2sinA cosA=​ 1 if tan A=1

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