If sin^(4)A-cos^(4)A=1 and 0<A<=90^(@) then A=
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Answer:
answer is A=pi/2
Step-by-step explanation:
- (sin^2A)^2 - (cos^2A)^2=1
- (sin^2A +cos^2A)(sin^2A-cos^2A)=1
- 1(-cos2A)=1
- cos2A=-1
- 2A=pi
- A=pi/2
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