Q1) If 2 sin2.0 - cos2 0 = 2, Find the value of a
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If 2 sin^2 A-cos^2 A=2, what is the value of A?
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, or A = 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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