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受欢迎的三角函数 >

3sec(θ)+7=0

解答

3 sec (θ) + 7 = 0

解答

θ = 2.01370 \dots + 2 πn, θ = - 2.01370 \dots + 2 πn

+1

度数

θ = 115.37693 \dots^{\circ} + 36 0^{\circ} n, θ = - 115.37693 \dots^{\circ} + 36 0^{\circ} n

求解步骤

3 sec (θ) + 7 = 0

将

7

到右边

3 sec (θ) + 7 = 0

两边减去

7

3 sec (θ) + 7 - 7 = 0 - 7

化简

3 sec (θ) = - 7

3 sec (θ) = - 7

两边除以

3

3 sec (θ) = - 7

两边除以

3

\frac{3 sec ( θ )}{3} = \frac{- 7}{3}

化简

sec (θ) = - \frac{7}{3}

sec (θ) = - \frac{7}{3}

使用反三角函数性质

sec (θ) = - \frac{7}{3}

sec (θ) = - \frac{7}{3}

的通解

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

θ = arcsec (- \frac{7}{3}) + 2 πn, θ = - arcsec (- \frac{7}{3}) + 2 πn

θ = arcsec (- \frac{7}{3}) + 2 πn, θ = - arcsec (- \frac{7}{3}) + 2 πn

以小数形式表示解

θ = 2.01370 \dots + 2 πn, θ = - 2.01370 \dots + 2 πn

作图

流行的例子

(tan(x)+1)(sec(x)-1)=0

(tan (x) + 1) (sec (x) - 1) = 0

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