sin(a)-2sin³(a)/2cos³(a)-cos(a)=tan(a)
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sin(a)-2sin³(a)/2cos³(a)-cos(a)=tan(a)
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Step-by-step explanation:
sin(a)-2sin³(a)
2cos³(a)-cos(a)
=sin a(1-2sin²(a)
cos a(2cos²(a)-1)
=sin a(1-2sin²a)
cos a(2(1-sin²a)-1
=sin a(1-2sin²a)
cos a(2-2sin²a-1)
=sin a(1-2sin²a) = tan a
cos a(1-2sin²a)
∴LHS=RHS
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