Question

If TanA=1/2,then sin2A+cos2A=?

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

we have given, tanA=1/2

we know that,

Sin2A=2tanA/(1+tan²A)

Cos2A={(1-tan²A) /(1+tan²A) }

Hence, Sin2A =2(1/2)/(1+(1/2)²)

= 4/(1+5) = 4/5

Cos2A =( 1- (1/2)²)/(1+(1/2)²)

= (1-(1/4))/(1+(1/4))

= {[(4-1)/4]/[(4+1)/4]} = 3/5

sin2A+cos2A =( 4/5 ) + (3/5 )

= 7/5