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受欢迎的三角函数 >

2=-4-3csc(x)

解答

2 = - 4 - 3 csc (x)

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

2 = - 4 - 3 csc (x)

交换两边

- 4 - 3 csc (x) = 2

将

4

到右边

- 4 - 3 csc (x) = 2

两边加上

4

- 4 - 3 csc (x) + 4 = 2 + 4

化简

- 3 csc (x) = 6

- 3 csc (x) = 6

两边除以

- 3

- 3 csc (x) = 6

两边除以

- 3

\frac{- 3 csc ( x )}{- 3} = \frac{6}{- 3}

化简

\frac{- 3 csc ( x )}{- 3} = \frac{6}{- 3}

化简

\frac{- 3 csc ( x )}{- 3} : csc (x)

\frac{- 3 csc ( x )}{- 3}

使用分式法则:

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

= \frac{3 csc ( x )}{3}

数字相除:

\frac{3}{3} = 1

= csc (x)

化简

\frac{6}{- 3} : - 2

\frac{6}{- 3}

使用分式法则:

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

= - \frac{6}{3}

数字相除:

\frac{6}{3} = 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

1 - 4 cos^{2} (x) = 0

tan (θ) = - \frac{9}{7}

16sin^2(x)=16-8cos(x)

16 sin^{2} (x) = 16 - 8 cos (x)

tan (x) = \frac{14}{7}

108cos(0.5a)=sin(90+a)

108 cos (0.5 a) = sin (9 0^{\circ} + a)