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

Question

Mathematics

Bryson

29 October, 05:05

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

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Answers (1)

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Jasmine Welch · Answer 1

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)