25sin^x+30sincosx+9cos^x=0

Question

25sin^x+30sincosx+9cos^x=0

Comments

в квадрате?

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подправь уравнение.

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9 cos^2x

Answer 1

25sin²x + 30 sinx cos x + 9cos²x = 0

(5sin x + 3cos x)² = 0

5sin x + 3cos x = 0 |:cos x≠0

5tg x + 3 = 0

tg x = -3/5

x=-arctg(3/5) + πn,n ∈ Z

Comments

cgc

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спс