Ответ:
15sinα°-8cosα=A
A/√ (152+82) = A/√ (225+64) = A/√289=A/17
A=17 (15/17sinα-8/17*cosα) = 17 (sinα*sinβ-cosα*cosβ) = - 17cos (α+β) , где
15/17=sinβ; 8/17=cosβ
cos (α+β) ∈[-1;+1]⇒
Amax=17; Amin=-17.
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Ответ:
15sinα°-8cosα=A
A/√ (152+82) = A/√ (225+64) = A/√289=A/17
A=17 (15/17sinα-8/17*cosα) = 17 (sinα*sinβ-cosα*cosβ) = - 17cos (α+β) , где
15/17=sinβ; 8/17=cosβ
cos (α+β) ∈[-1;+1]⇒
Amax=17; Amin=-17.