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受欢迎的三角函数 >

4csc(x)+8=0

解答

4 csc (x) + 8 = 0

解答

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

+1

度数

x = 21 0^{\circ} + 36 0^{\circ} n, x = 33 0^{\circ} + 36 0^{\circ} n

求解步骤

4 csc (x) + 8 = 0

将

8

到右边

4 csc (x) + 8 = 0

两边减去

8

4 csc (x) + 8 - 8 = 0 - 8

化简

4 csc (x) = - 8

4 csc (x) = - 8

两边除以

4

4 csc (x) = - 8

两边除以

4

\frac{4 csc ( x )}{4} = \frac{- 8}{4}

化简

\frac{4 csc ( x )}{4} = \frac{- 8}{4}

化简

\frac{4 csc ( x )}{4} : csc (x)

\frac{4 csc ( x )}{4}

数字相除:

\frac{4}{4} = 1

= csc (x)

化简

\frac{- 8}{4} : - 2

\frac{- 8}{4}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{8}{4}

数字相除:

\frac{8}{4} = 2

= - 2

csc (x) = - 2

csc (x) = - 2

csc (x) = - 2

csc (x) = - 2

的通解

csc (x)

周期表（周期为

2 πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

作图

流行的例子

sin((3pi)/2-2x)=sin(x)

sin (\frac{3 π}{2} - 2 x) = sin (x)

solvefor α,sin(α)-sin(β)=cos(β)-cos(α)

so l v e f or α, sin (α) - sin (β) = cos (β) - cos (α)

sin(2x)=sqrt(3)

sin (2 x) = 3

cos (2 x + 15) = 0.3

(sin^2(x))/(cos(x))=16.33

\frac{sin ^{2} ( x )}{cos ( x )} = 16.33