Hello everyone plz quickly solve this question:-
If sin A + sin^2 A = 1, then cos ^2A + cos^4 A = ..........
(with proper justification)
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Answer:
sinA=-sin^2A+1
As we konw 1-sin^2A=cos^2A
then sinA = cos^2A,..........1
=cos^2A+cos^4A
=(cosA+cos^2A)^2
=(cosA+sinA)^2 ........FROM1
=cos^2A+sin^2A+2sinA cosA
=1+2sinA cosA
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