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受欢迎的三角函数 >

cos(3x)=sin(60)

解答

cos (3 x) = sin (6 0^{\circ})

解答

x = 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}, x = 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

+1

弧度

x = \frac{π}{18} + \frac{2 π}{3} n, x = \frac{11 π}{18} + \frac{2 π}{3} n

求解步骤

cos (3 x) = sin (6 0^{\circ})

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 0^{\circ})

使用以下普通恒等式:

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 0^{\circ})

sin (x)

周期表（周期为

36 0^{\circ} n

"）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{3}{2}

= \frac{3}{2}

cos (3 x) = \frac{3}{2}

cos (3 x) = \frac{3}{2}

的通解

cos (x)

周期表（周期为

36 0^{\circ} n

）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

3 x = 3 0^{\circ} + 36 0^{\circ} n, 3 x = 33 0^{\circ} + 36 0^{\circ} n

3 x = 3 0^{\circ} + 36 0^{\circ} n, 3 x = 33 0^{\circ} + 36 0^{\circ} n

解

3 x = 3 0^{\circ} + 36 0^{\circ} n : x = 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

3 x = 3 0^{\circ} + 36 0^{\circ} n

两边除以

3

3 x = 3 0^{\circ} + 36 0^{\circ} n

两边除以

3

\frac{3 x}{3} = \frac{3 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

化简

\frac{3 x}{3} = \frac{3 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

化简

\frac{3 x}{3} : x

\frac{3 x}{3}

数字相除:

\frac{3}{3} = 1

= x

化简

\frac{3 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3} : 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

\frac{3 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

\frac{3 0 ^{\circ}}{3} = 1 0^{\circ}

\frac{3 0 ^{\circ}}{3}

使用分式法则:

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

= \frac{18 0 ^{\circ}}{6 \cdot 3}

数字相乘:

6 \cdot 3 = 18

= 1 0^{\circ}

= 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

解

3 x = 33 0^{\circ} + 36 0^{\circ} n : x = 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

3 x = 33 0^{\circ} + 36 0^{\circ} n

两边除以

3

3 x = 33 0^{\circ} + 36 0^{\circ} n

两边除以

3

\frac{3 x}{3} = \frac{33 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

化简

\frac{3 x}{3} = \frac{33 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

化简

\frac{3 x}{3} : x

\frac{3 x}{3}

数字相除:

\frac{3}{3} = 1

= x

化简

\frac{33 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3} : 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

\frac{33 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

\frac{33 0 ^{\circ}}{3} = 11 0^{\circ}

\frac{33 0 ^{\circ}}{3}

使用分式法则:

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

= \frac{198 0 ^{\circ}}{6 \cdot 3}

数字相乘:

6 \cdot 3 = 18

= 11 0^{\circ}

= 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 1 0^{\circ} + \frac{36 0 ^{\circ} n}{3}, x = 11 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

作图

流行的例子

tan(x)+sec(x)=sqrt(3)

tan (x) + sec (x) = 3

sin^2(x)=((5m-7))/6

sin^{2} (x) = \frac{( 5 m - 7 )}{6}

sin^{2} (x) = 0.2

sin(x)=(sin(45))/(1.3)

sin (x) = \frac{sin ( 4 5 ^{\circ} )}{1.3}

arctan(x)+arctan(1-x)=arctan(9/7)

arctan (x) + arctan (1 - x) = arctan (\frac{9}{7})