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## Answers

SinA +

__CosA__- 1 + Sin²A +

__SinACosA__- SinA =

__SinACosA__- Cos²A +

__CosA__

Underlines terms on the two sides cancel out.

Also SinA and ( - Sina) on LHS cancel out.

Re-writing remaining terms:-

- 1 + Sin²A = - Cos²A

Or Sin²A + Cos²A = 1 which is true

Hence given equation is proved.

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Note: Cross-multiplication and simplifying to get the result as done above is one of the methods to prove when you cannot find other methods.

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