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21-10-2019
Mathematics

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Derive a formula for sin(2????) in terms of sin(????) and cos(????) for all real numbers ????.

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jtellezd jtellezd

25-10-2019

Answer: sin (2α) = 2 sin (α) cos (α)

Step-by-step explanation:

We departure from the sin of a sum of angles

sin ( α + β ) = sinα *cosβ + sinβ *cosα

if α = β ⇒ sin (α + α ) = sin(α) *cos(α) + sin(α)*cos(α)

sin (2α) = 2 sin (α) cos (α)

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