(1- sinA+ cosA)²= 2( 1+ cosA)(1-sinA)
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
(1- sinA+ cosA)²= 2( 1+ cosA)(1-sinA)
LHS { (1-sinA)+cosA }²
=(1-sinA)²+2cosA(1-sinA)+cos²A
=(1-sinA)²+ 2cosA(1-sinA) + 1-sin²A
=(1-sinA)²+ 2cosA(1-sinA) +(1-sinA)(1+sinA)
=(1-sinA) (1-sinA+2cosA+1+sinA)
=(1-sinA)( 2+2cosA)
=2(1-sinA)(1+cosA)=RHS
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