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If `angleA=30^@`, verify each of the following `(i) sin2A=tanA/(1+tan^2A)` `(ii) cosA=(1-tan^2A)/(1+tan^2A)`

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If `angleA=30^@`, verify each of the following `(i) sin2A=tanA/(1+tan^2A)` `(ii) cosA=(1-tan^2A)/(1+tan^2A)`
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1)`/_A=30^0`
LHS
`sin2A=sin2(30)=sin60=sqrt3/2`
RHS
`(2tanA)/(1+tan^2A)=(2tan30)/(1+tan^230)=sqrt3/2`
2)LHS
`cos2A=cos2*30=1/2`
RHS
`(1-tan^2A)/(1+tan^2A)=(1-tan^2 30)/(1+tan^2 30)`
`(1-(1/3))/(1+(1/3))=1/2`
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