zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

2sqrt(2)cos(x)+3=5

解答

22 cos (x) + 3 = 5

解答

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

+1

度数

x = 4 5^{\circ} + 36 0^{\circ} n, x = 31 5^{\circ} + 36 0^{\circ} n

求解步骤

22 cos (x) + 3 = 5

将

3

到右边

22 cos (x) + 3 = 5

两边减去

3

22 cos (x) + 3 - 3 = 5 - 3

化简

22 cos (x) = 2

22 cos (x) = 2

两边除以

22

22 cos (x) = 2

两边除以

22

\frac{2 2 cos ( x )}{2 2} = \frac{2}{2 2}

化简

\frac{2 2 cos ( x )}{2 2} = \frac{2}{2 2}

化简

\frac{2 2 cos ( x )}{2 2} : cos (x)

\frac{2 2 cos ( x )}{2 2}

数字相除:

\frac{2}{2} = 1

= \frac{2 cos ( x )}{2}

约分:

2

= cos (x)

化简

\frac{2}{2 2} : \frac{2}{2}

\frac{2}{2 2}

数字相除:

\frac{2}{2} = 1

= \frac{1}{2}

\frac{1}{2}

有理化:

\frac{2}{2}

\frac{1}{2}

乘以共轭根式

\frac{2}{2}

= \frac{1 \cdot 2}{2 2}

1 \cdot 2 = 2

22 = 2

22

使用根式运算法则:

a a = a

22 = 2

= 2

= \frac{2}{2}

= \frac{2}{2}

cos (x) = \frac{2}{2}

cos (x) = \frac{2}{2}

cos (x) = \frac{2}{2}

cos (x) = \frac{2}{2}

的通解

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

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

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

作图

流行的例子

4tan^2(x)+14tan(x)+12=0

4 tan^{2} (x) + 14 tan (x) + 12 = 0

8 arcsin (x) = 2 π

2sin(1/2 x)+1=0

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

sin (x) = - \frac{5}{2}

csc(x)=-7/6 ,tan(x)>0

csc (x) = - \frac{7}{6}, tan (x) > 0