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31-08-2016
Mathematics

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how do you simplify sin2x=cosx

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Panoyin Panoyin

31-08-2016

sin(2x) = cos(x)
2sin(x)cos(x) = cos(x) Expand sin(2x).
2cos(x) 2cos(x) Divide 2cos(x) on each side.
sin(x) = ¹/₂
sin⁻¹[sin(x)] = sin⁻¹(¹/₂) Use sin⁻¹(x) on each side.
x = 30, 150 Find the answer.

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