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Prove the identity: sin x (csc x - sin x ) = cos^2 x

Sagot :

Answer:

[tex]\large\text{L.H.S. = $\sin x(\csc x-\sin x)$}[/tex]

             [tex]\large\text{$=\sin x .\csc x-\sin^2 x$}[/tex]

             [tex]\large\text{$=1-\sin^2x$}[/tex]

             [tex]\large\text{$=\cos^2x$}[/tex]