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受欢迎的三角函数 >

3csc(θ)=4.5

解答

3 csc (θ) = 4.5

解答

θ = 0.72972 \dots + 2 πn, θ = π - 0.72972 \dots + 2 πn

+1

度数

θ = 41.81031 \dots^{\circ} + 36 0^{\circ} n, θ = 138.18968 \dots^{\circ} + 36 0^{\circ} n

求解步骤

3 csc (θ) = 4.5

两边除以

3

3 csc (θ) = 4.5

两边除以

3

\frac{3 csc ( θ )}{3} = \frac{4.5}{3}

化简

csc (θ) = 1.5

csc (θ) = 1.5

使用反三角函数性质

csc (θ) = 1.5

csc (θ) = 1.5

的通解

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

θ = arccsc (1.5) + 2 πn, θ = π - arccsc (1.5) + 2 πn

θ = arccsc (1.5) + 2 πn, θ = π - arccsc (1.5) + 2 πn

以小数形式表示解

θ = 0.72972 \dots + 2 πn, θ = π - 0.72972 \dots + 2 πn

作图

流行的例子

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cos^{3} (x) = \frac{1}{4 ( 3 cos ( x ) + cos ( 3 x ) )}

solvefor w,s(t)=Ae^{-ct}cos(wt+θ)

so l v e f or w, s (t) = A e^{- c t} cos (wt + θ)

sqrt(2)=2sin(x)

2 = 2 sin (x)

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