maths
posted by sumayya .
prove that sin A(1+tan A)+cos A(1+cot A)= sec A+ cosec A

multiply the left side by sinAcosA/(sinAcosA)
sin^2A*(cosA+sinA)+cos^2A*(sin+cosA)/ ( )
(cosA+sinA)(sin^2+ cos^2)/ ( )
1/sinA + 1/Cos A
cscA + secA
qed
posted by sumayya .
prove that sin A(1+tan A)+cos A(1+cot A)= sec A+ cosec A
multiply the left side by sinAcosA/(sinAcosA)
sin^2A*(cosA+sinA)+cos^2A*(sin+cosA)/ ( )
(cosA+sinA)(sin^2+ cos^2)/ ( )
1/sinA + 1/Cos A
cscA + secA
qed