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受欢迎的三角函数 >

6sec(θ)+7=0

解答

6 sec (θ) + 7 = 0

解答

θ = 2.60049 \dots + 2 πn, θ = - 2.60049 \dots + 2 πn

+1

度数

θ = 148.99728 \dots^{\circ} + 36 0^{\circ} n, θ = - 148.99728 \dots^{\circ} + 36 0^{\circ} n

求解步骤

6 sec (θ) + 7 = 0

将

7

到右边

6 sec (θ) + 7 = 0

两边减去

7

6 sec (θ) + 7 - 7 = 0 - 7

化简

6 sec (θ) = - 7

6 sec (θ) = - 7

两边除以

6

6 sec (θ) = - 7

两边除以

6

\frac{6 sec ( θ )}{6} = \frac{- 7}{6}

化简

sec (θ) = - \frac{7}{6}

sec (θ) = - \frac{7}{6}

使用反三角函数性质

sec (θ) = - \frac{7}{6}

sec (θ) = - \frac{7}{6}

的通解

sec (x) = - a \Rightarrow x = arcsec (- a) + 2 πn, x = - arcsec (- a) + 2 πn

θ = arcsec (- \frac{7}{6}) + 2 πn, θ = - arcsec (- \frac{7}{6}) + 2 πn

θ = arcsec (- \frac{7}{6}) + 2 πn, θ = - arcsec (- \frac{7}{6}) + 2 πn

以小数形式表示解

θ = 2.60049 \dots + 2 πn, θ = - 2.60049 \dots + 2 πn

作图

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