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densk [106]
3 years ago
5

Please someone help me...​

Mathematics
2 answers:
kramer3 years ago
4 0

Step-by-step explanation:

x cos θ + y sin θ = x cos β + y sin β

<em>Let's say x = cos A, and y = sin A.</em>

cos A cos θ + sin A sin θ = cos A cos β + sin A sin β

<em>Use angle sum formula.</em>

cos(A − θ) = cos(A − β)

A − θ = ±(A − β)

A − θ = β − A

2A = θ + β

A = (θ + β) / 2

cot A = cot((θ + β) / 2)

x/y = cot((θ + β) / 2)

soldi70 [24.7K]3 years ago
4 0

Take a look at the explanation below. It proves that 'x / y = cot(θ + β / 2)' using a different method.

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