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受欢迎的三角函数 >

7tan(3x)=7

解答

7 tan (3 x) = 7

解答

x = \frac{π}{12} + \frac{πn}{3}

+1

度数

x = 1 5^{\circ} + 6 0^{\circ} n

求解步骤

7 tan (3 x) = 7

两边除以

7

7 tan (3 x) = 7

两边除以

7

\frac{7 tan ( 3 x )}{7} = \frac{7}{7}

化简

tan (3 x) = 1

tan (3 x) = 1

tan (3 x) = 1

的通解

tan (x)

周期表（周期为

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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

3 x = \frac{π}{4} + πn

3 x = \frac{π}{4} + πn

解

3 x = \frac{π}{4} + πn : x = \frac{π}{12} + \frac{πn}{3}

3 x = \frac{π}{4} + πn

两边除以

3

3 x = \frac{π}{4} + πn

两边除以

3

\frac{3 x}{3} = \frac{\frac{π}{4}}{3} + \frac{πn}{3}

化简

\frac{3 x}{3} = \frac{\frac{π}{4}}{3} + \frac{πn}{3}

化简

\frac{3 x}{3} : x

\frac{3 x}{3}

数字相除:

\frac{3}{3} = 1

= x

化简

\frac{\frac{π}{4}}{3} + \frac{πn}{3} : \frac{π}{12} + \frac{πn}{3}

\frac{\frac{π}{4}}{3} + \frac{πn}{3}

\frac{\frac{π}{4}}{3} = \frac{π}{12}

\frac{\frac{π}{4}}{3}

使用分式法则:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{π}{4 \cdot 3}

数字相乘:

4 \cdot 3 = 12

= \frac{π}{12}

= \frac{π}{12} + \frac{πn}{3}

x = \frac{π}{12} + \frac{πn}{3}

x = \frac{π}{12} + \frac{πn}{3}

x = \frac{π}{12} + \frac{πn}{3}

x = \frac{π}{12} + \frac{πn}{3}

作图

流行的例子

sin(θ)=((0.0543)/(0.9911))

sin (θ) = (\frac{0.0543}{0.9911})

sin (x) = 0.2419

tan(θ)=-sqrt(19/17)

tan (θ) = - \frac{19}{17}

cos(x)=0.3,cos(pi-x)

cos (x) = 0.3, cos (π - x)

cos (t) = \frac{3}{4}