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Question

If tanA= 2 1 then sinAcosA =2m.Find m

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Solution

Given,

tanA=21

rationalizing the factor, we get,

tanA=12+1

1tanA=2+1

we get,

tanA+1tanA=21+2+1

tan2A+1tanA=22

1sinAcosA=22

sinAcosA=122

sinAcosA=24

m=4


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