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Prove this identify : 2 cos^2 (45°-A ) = 1 +sin 2 A
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Sep 13, 2022
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Prove this identify : 2 cos^2 (45°-A ) = 1 +sin 2 A
Mathematics
high-school
MrDumb
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I am guessing that you mean 2cos2(45° - x) = 1 + sin2x
According to a double angle identity, 2cos2θ - 1 = cos(2θ)
So, 2cos2(45° - x) - 1 = cos (90° - 2x)
= cos90°cos2x + sin90°sin2x
= (0)cos2x + (1)sin2x
= sin2x
Thus, 2cos2(45° - x) = 1 + sin2x
Peter Schofield
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Sep 17, 2022
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Peter Schofield
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