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受欢迎的三角函数 >

120=120sin(pi/3 c)

解答

120 = 120 sin (\frac{π}{3} c)

解答

c = \frac{3}{2} + 6 n

+1

度数

c = 85.94366 \dots^{\circ} + 343.77467 \dots^{\circ} n

求解步骤

120 = 120 sin (\frac{π}{3} c)

交换两边

120 sin (\frac{π}{3} c) = 120

两边除以

120

120 sin (\frac{π}{3} c) = 120

两边除以

120

\frac{120 sin ( \frac{π}{3} c )}{120} = \frac{120}{120}

化简

sin (\frac{π}{3} c) = 1

sin (\frac{π}{3} c) = 1

sin (\frac{π}{3} c) = 1

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}

\frac{π}{3} c = \frac{π}{2} + 2 πn

\frac{π}{3} c = \frac{π}{2} + 2 πn

解

\frac{π}{3} c = \frac{π}{2} + 2 πn : c = \frac{3}{2} + 6 n

\frac{π}{3} c = \frac{π}{2} + 2 πn

在两边乘以

3

\frac{π}{3} c = \frac{π}{2} + 2 πn

在两边乘以

3

3 \cdot \frac{π}{3} c = 3 \cdot \frac{π}{2} + 3 \cdot 2 πn

化简

3 \cdot \frac{π}{3} c = 3 \cdot \frac{π}{2} + 3 \cdot 2 πn

化简

3 \cdot \frac{π}{3} c : π c

3 \cdot \frac{π}{3} c

分式相乘:

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

= \frac{3 π}{3} c

约分:

3

= c π

化简

3 \cdot \frac{π}{2} + 3 \cdot 2 πn : \frac{3 π}{2} + 6 πn

3 \cdot \frac{π}{2} + 3 \cdot 2 πn

乘

3 \cdot \frac{π}{2} : \frac{3 π}{2}

3 \cdot \frac{π}{2}

分式相乘:

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

= \frac{π 3}{2}

= \frac{3 π}{2} + 3 \cdot 2 πn

数字相乘:

3 \cdot 2 = 6

= \frac{3 π}{2} + 6 πn

π c = \frac{3 π}{2} + 6 πn

π c = \frac{3 π}{2} + 6 πn

π c = \frac{3 π}{2} + 6 πn

两边除以

π

π c = \frac{3 π}{2} + 6 πn

两边除以

π

\frac{π c}{π} = \frac{\frac{3 π}{2}}{π} + \frac{6 πn}{π}

化简

\frac{π c}{π} = \frac{\frac{3 π}{2}}{π} + \frac{6 πn}{π}

化简

\frac{π c}{π} : c

\frac{π c}{π}

约分:

π

= c

化简

\frac{\frac{3 π}{2}}{π} + \frac{6 πn}{π} : \frac{3}{2} + 6 n

\frac{\frac{3 π}{2}}{π} + \frac{6 πn}{π}

\frac{\frac{3 π}{2}}{π} = \frac{3}{2}

\frac{\frac{3 π}{2}}{π}

使用分式法则:

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

= \frac{3 π}{2 π}

约分:

π

= \frac{3}{2}

\frac{6 πn}{π} = 6 n

\frac{6 πn}{π}

约分:

π

= 6 n

= \frac{3}{2} + 6 n

c = \frac{3}{2} + 6 n

c = \frac{3}{2} + 6 n

c = \frac{3}{2} + 6 n

c = \frac{3}{2} + 6 n

作图

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