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受欢迎的三角函数 >

sin(x+5pi)=0

解答

sin (x + 5 π) = 0

解答

x = 2 πn - 5 π, x = - 4 π + 2 πn

+1

度数

x = - 90 0^{\circ} + 36 0^{\circ} n, x = - 72 0^{\circ} + 36 0^{\circ} n

求解步骤

sin (x + 5 π) = 0

sin (x + 5 π) = 0

的通解

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

x + 5 π = 0 + 2 πn, x + 5 π = π + 2 πn

x + 5 π = 0 + 2 πn, x + 5 π = π + 2 πn

解

x + 5 π = 0 + 2 πn : x = 2 πn - 5 π

x + 5 π = 0 + 2 πn

0 + 2 πn = 2 πn

x + 5 π = 2 πn

将

5 π

到右边

x + 5 π = 2 πn

两边减去

5 π

x + 5 π - 5 π = 2 πn - 5 π

化简

x = 2 πn - 5 π

x = 2 πn - 5 π

解

x + 5 π = π + 2 πn : x = - 4 π + 2 πn

x + 5 π = π + 2 πn

将

5 π

到右边

x + 5 π = π + 2 πn

两边减去

5 π

x + 5 π - 5 π = π + 2 πn - 5 π

化简

x = - 4 π + 2 πn

x = - 4 π + 2 πn

x = 2 πn - 5 π, x = - 4 π + 2 πn

作图

流行的例子

cos(2x)+9cos(x)+5=0

cos (2 x) + 9 cos (x) + 5 = 0

25=-20cos((2pi)/(365)(x+10))+25

25 = - 20 cos (\frac{2 π}{365} (x + 10)) + 25

sin(x)-cos(x)-1/(sqrt(2))=0

sin (x) - cos (x) - \frac{1}{2} = 0

cos^2(θ)= 49/64

cos^{2} (θ) = \frac{49}{64}

sec^2(θ)=1-tan(θ)

sec^{2} (θ) = 1 - tan (θ)