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受欢迎的三角函数 >

4sin(x)+2sqrt(2)=0

解答

4 sin (x) + 22 = 0

解答

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

+1

度数

x = 22 5^{\circ} + 36 0^{\circ} n, x = 31 5^{\circ} + 36 0^{\circ} n

求解步骤

4 sin (x) + 22 = 0

将

22

到右边

4 sin (x) + 22 = 0

两边减去

22

4 sin (x) + 22 - 22 = 0 - 22

化简

4 sin (x) = - 22

4 sin (x) = - 22

两边除以

4

4 sin (x) = - 22

两边除以

4

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

化简

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

化简

\frac{4 sin ( x )}{4} : sin (x)

\frac{4 sin ( x )}{4}

数字相除:

\frac{4}{4} = 1

= sin (x)

化简

\frac{- 2 2}{4} : - \frac{2}{2}

\frac{- 2 2}{4}

使用分式法则:

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

= - \frac{2 2}{4}

约分:

2

= - \frac{2}{2}

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

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

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

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

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 = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

作图

流行的例子

sin(4x)+sin(2x)=0,0<= x<= 180

sin (4 x) + sin (2 x) = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

(sqrt(3)tan(x))/(sec(x))-cos(x)=0

\frac{3 tan ( x )}{sec ( x )} - cos (x) = 0

2 cos (2 x) = 2

sec^2(θ)-2tan(θ)=0

sec^{2} (θ) - 2 tan (θ) = 0

sin(2x)-cos(2x)=sqrt(2)

sin (2 x) - cos (2 x) = 2