PROVE THAT) SIN A + COS A - 1 \ SIN A - COS A +1 = COS A \ 1+SIN A
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Cross multiply the given equation:-
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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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.
---------------------------------------------------
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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saurabh11102000:
it wm
we have to divide each term of with cos a
of lhs
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