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muminat
3 years ago
6

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

Mathematics
1 answer:
azamat3 years ago
7 0

Answer:  (2α) = cos²(α) - sin²(α)

Step-by-step explanation:

The expression for cosine of the sum of two angles is:

cos (α + β) = cos(α)*cos(β) - sin(α)*sin(β)

in case α = β

cos ( α + α ) = cos (2α) = cos(α)*cos(α) - sin(α)*cos(α)

Hence cos (2α) = cos²(α) - sin²(α)

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