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受欢迎的三角函数 >

6sec(θ)+8=-4

解答

6 sec (θ) + 8 = - 4

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

6 sec (θ) + 8 = - 4

将

8

到右边

6 sec (θ) + 8 = - 4

两边减去

8

6 sec (θ) + 8 - 8 = - 4 - 8

化简

6 sec (θ) = - 12

6 sec (θ) = - 12

两边除以

6

6 sec (θ) = - 12

两边除以

6

\frac{6 sec ( θ )}{6} = \frac{- 12}{6}

化简

\frac{6 sec ( θ )}{6} = \frac{- 12}{6}

化简

\frac{6 sec ( θ )}{6} : sec (θ)

\frac{6 sec ( θ )}{6}

数字相除:

\frac{6}{6} = 1

= sec (θ)

化简

\frac{- 12}{6} : - 2

\frac{- 12}{6}

使用分式法则:

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

= - \frac{12}{6}

数字相除:

\frac{12}{6} = 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

cos^2(θ)-cos(θ)-2=0

cos^{2} (θ) - cos (θ) - 2 = 0

2 sin (3 x) = - 1

8sin^2(θ)+2sin(θ)-1=0

8 sin^{2} (θ) + 2 sin (θ) - 1 = 0

tan (θ) = 6

sin (4 x) = \frac{1}{2}