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Cos30*cos50+sin30*sin50

User Andih
by
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1 Answer

2 votes

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Answer:

cos(20°)

Explanation:

The angle difference formula for cosine is ...

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

If we let α = 50° and β = 30° then this matches the given expression:

cos(50° -30°) = cos(50°)cos(30°) +sin(50°)sin(30°) = cos(20°)

User Tim Visher
by
4.3k points