how does 2sinx becomes 2sinx/2 cosx/2
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1
2sinx = 2(sinx ) (cosx) tan2x = 2 tan x
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2
It is not 2sinx
sin x =2sinx/2cosx/2
Lhs = sinx
=sin(x/2 +x/2)
=sinx/2 *cos x/2 + cos x/2* sin x/2
=2sinx/2 cosx/2
=rhs
Here we used
Sin(A+B)=sinAcosB+cosAsinB
sin x =2sinx/2cosx/2
Lhs = sinx
=sin(x/2 +x/2)
=sinx/2 *cos x/2 + cos x/2* sin x/2
=2sinx/2 cosx/2
=rhs
Here we used
Sin(A+B)=sinAcosB+cosAsinB
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