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Step-by-step explanation:
If 2 sin^2 A - cos^2 A = 2, what is the value of A? cos A = 0, or A = 90 deg or 180 deg. = 2*1–0= 2. Correct.
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If 2 sin^2 A-cos^2 A = 2, what is the value of A?
2 sin^2 A-cos^2 A = 2
2 sin^2 A - cos^2 A = 2(sin^2 A + cos^2 A)
2 sin^2 A-cos^2 A=2sin^2 A +2cos^2 A
3cos^2 A = 0
cos A = 0, orA = 90 deg or 180 deg.
Check: 2 sin^2 A - cos^2 A
= 2*sin^2 90-cos^2 90
= 2*1-0-2. Correct.
Hence A = 90 deg or 180 deg.
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