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受欢迎的三角函数 >

2csc(θ)-5=0

解答

2 csc (θ) - 5 = 0

解答

θ = 0.41151 \dots + 2 πn, θ = π - 0.41151 \dots + 2 πn

+1

度数

θ = 23.57817 \dots^{\circ} + 36 0^{\circ} n, θ = 156.42182 \dots^{\circ} + 36 0^{\circ} n

求解步骤

2 csc (θ) - 5 = 0

将

5

到右边

2 csc (θ) - 5 = 0

两边加上

5

2 csc (θ) - 5 + 5 = 0 + 5

化简

2 csc (θ) = 5

2 csc (θ) = 5

两边除以

2

2 csc (θ) = 5

两边除以

2

\frac{2 csc ( θ )}{2} = \frac{5}{2}

化简

csc (θ) = \frac{5}{2}

csc (θ) = \frac{5}{2}

使用反三角函数性质

csc (θ) = \frac{5}{2}

csc (θ) = \frac{5}{2}

的通解

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

θ = arccsc (\frac{5}{2}) + 2 πn, θ = π - arccsc (\frac{5}{2}) + 2 πn

θ = arccsc (\frac{5}{2}) + 2 πn, θ = π - arccsc (\frac{5}{2}) + 2 πn

以小数形式表示解

θ = 0.41151 \dots + 2 πn, θ = π - 0.41151 \dots + 2 πn

作图

流行的例子

9cos^2(θ)-10cos(θ)-2=-7cos(θ)

9 cos^{2} (θ) - 10 cos (θ) - 2 = - 7 cos (θ)

cos (4 x) + 1 = 0

sin(x)=-sqrt(2)

sin (x) = - 2

4 sec (θ) - 5 = 0

3sin(x)+5cos(x)=0

3 sin (x) + 5 cos (x) = 0