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let sin2X = 2sinX × cosX
and use sin^2X+cos^2x=1
LHS=sinX-✓sin^2X+cos^2X+2sinX cosX
-----------------------------------------------
cosX -✓ sin^2X+cos^2X+2sinX cosX
= sinX-✓ (sinX+CosX)^2
-----------------------------
cosX-✓(sinX+CosX)^2
= sinX-sinX-cosX
----------------------
cosX -sinx-cosx
= -cosX
----------
-sinX
= cotX. ( where X = theta)
and use sin^2X+cos^2x=1
LHS=sinX-✓sin^2X+cos^2X+2sinX cosX
-----------------------------------------------
cosX -✓ sin^2X+cos^2X+2sinX cosX
= sinX-✓ (sinX+CosX)^2
-----------------------------
cosX-✓(sinX+CosX)^2
= sinX-sinX-cosX
----------------------
cosX -sinx-cosx
= -cosX
----------
-sinX
= cotX. ( where X = theta)
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