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受欢迎的三角函数 >

sec(θ+20)=sqrt(3)

解答

sec (θ + 2 0^{\circ}) = 3

解答

θ = 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}, θ = 36 0^{\circ} - 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}

+1

弧度

θ = 0.95531 \dots - \frac{π}{9} + 2 πn, θ = 2 π - 0.95531 \dots - \frac{π}{9} + 2 πn

求解步骤

sec (θ + 2 0^{\circ}) = 3

使用反三角函数性质

sec (θ + 2 0^{\circ}) = 3

sec (θ + 2 0^{\circ}) = 3

的通解

sec (x) = a \Rightarrow x = arcsec (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arcsec (a) + 36 0^{\circ} n

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n, θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n, θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

解

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n : θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n

将

2 0^{\circ}

到右边

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n

两边减去

2 0^{\circ}

θ + 2 0^{\circ} - 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

化简

θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

解

θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n : θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

将

2 0^{\circ}

到右边

θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

两边减去

2 0^{\circ}

θ + 2 0^{\circ} - 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

化简

θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}, θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

以小数形式表示解

θ = 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}, θ = 36 0^{\circ} - 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}

作图

流行的例子

tan(θ)=(7.7)/(14)

tan (θ) = \frac{7.7}{14}

cos(x)=(sqrt(3))/3

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

3 + 4 cos (θ) = - 1

cot(x)tan(x)=sec(x)csc(x)

cot (x) tan (x) = sec (x) csc (x)

sin(x+pi/2)-sin(x-pi/2)=sqrt(2)

sin (x + \frac{π}{2}) - sin (x - \frac{π}{2}) = 2