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受欢迎的三角函数 >

7sec(θ)+9=-5

解答

7 sec (θ) + 9 = - 5

解答

θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

+1

度数

θ = 12 0^{\circ} + 36 0^{\circ} n, θ = 24 0^{\circ} + 36 0^{\circ} n

求解步骤

7 sec (θ) + 9 = - 5

将

9

到右边

7 sec (θ) + 9 = - 5

两边减去

9

7 sec (θ) + 9 - 9 = - 5 - 9

化简

7 sec (θ) = - 14

7 sec (θ) = - 14

两边除以

7

7 sec (θ) = - 14

两边除以

7

\frac{7 sec ( θ )}{7} = \frac{- 14}{7}

化简

\frac{7 sec ( θ )}{7} = \frac{- 14}{7}

化简

\frac{7 sec ( θ )}{7} : sec (θ)

\frac{7 sec ( θ )}{7}

数字相除:

\frac{7}{7} = 1

= sec (θ)

化简

\frac{- 14}{7} : - 2

\frac{- 14}{7}

使用分式法则:

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

= - \frac{14}{7}

数字相除:

\frac{14}{7} = 2

= - 2

sec (θ) = - 2

sec (θ) = - 2

sec (θ) = - 2

sec (θ) = - 2

的通解

sec (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} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} 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} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

作图

流行的例子

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