Can somebody please help me verify:
csc^2x-cos^2x(1+tanx)-sin^2x(1-cotx)=cot^2x

As usual for this type of problem first convert the cosecant, tangent, and cotangent functions to their sine and cosine equivalents, then simplify. Look for opportunities to apply other well-known identities such as sin^2x + cos^2x = 1.

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Originally Posted by ebaines

As usual for this type of problem first convert the cosecant, tangent, and cotangent functions to their sine and cosine equivalents, then simplify. Look for opportunities to apply other well-known identities such as sin^2x + cos^2x = 1.

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Ive been struggling with it, could you solve it with steps for as an example? Ive got like 6 more like this to do.

Show us your attempt at this and I'll help where you get stuck. How far along do you get using the approach I suggested?