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alyona367
@alyona367
July 2022
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8 cos^{2}x -10sinx-11=0
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dnepr1
Verified answer
cos^{2}x = 1 - sin²x
8(
1 - sin²x) - 10sin x - 11 = 0
8 -
8sin²x - 10sin x - 11 = 0
- 8sin²x - 10sin x - 3 = 0 D = 4 sin x₁ = -3/4
sin x₂ = -1/2
x₁ = Arc sin(-3/4) = kπ+(-1)^k*arc sin(-3/4) = kπ+(-1)^k*
(-0,84806
)
x₂ = Arc sin(-1/2) = kπ+(-1)^k*arc sin(-1/2) = kπ+(-1)^k*(-π/6).
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Answers & Comments
Verified answer
cos^{2}x = 1 - sin²x8(1 - sin²x) - 10sin x - 11 = 0
8 - 8sin²x - 10sin x - 11 = 0
- 8sin²x - 10sin x - 3 = 0 D = 4 sin x₁ = -3/4
sin x₂ = -1/2
x₁ = Arc sin(-3/4) = kπ+(-1)^k*arc sin(-3/4) = kπ+(-1)^k*(-0,84806)
x₂ = Arc sin(-1/2) = kπ+(-1)^k*arc sin(-1/2) = kπ+(-1)^k*(-π/6).