sin2 cos2 sin cos cos sin Solutionleft hand side sin2

(sin²(-) - cos²(-)) / (sin(-) - cos (-)) = cos - sin

Solution

left hand side

(sin2(-) - cos2(-)) / (sin(-) - cos (-)) = (-sin2 - cos2) / (-sin - cos)

=  (sin2 + cos2) / (sin + cos)

= (sin2 + cos2)( cos - sin ) / (sin + cos)(cos - sin )

= (sin2 + cos2)( cos - sin )/cos2

= (1 + tan2)( cos - sin )

this is correct expression and not the one you given in question.