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 >

6sin((5pi)/6)sin(pi/6)

解答

6 sin (\frac{5 π}{6}) sin (\frac{π}{6})

解答

\frac{3}{2}

+1

十进制

1.5

求解步骤

6 sin (\frac{5 π}{6}) sin (\frac{π}{6})

使用以下普通恒等式:

sin (\frac{5 π}{6}) = \frac{1}{2}

sin (\frac{5 π}{6})

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{1}{2}

使用以下普通恒等式:

sin (\frac{π}{6}) = \frac{1}{2}

sin (\frac{π}{6})

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{1}{2}

= 6 \cdot \frac{1}{2} \cdot \frac{1}{2}

化简

6 \cdot \frac{1}{2} \cdot \frac{1}{2} : \frac{3}{2}

6 \cdot \frac{1}{2} \cdot \frac{1}{2}

将项转换为分式:

6 = \frac{6}{1}

= \frac{6}{1} \cdot \frac{1}{2} \cdot \frac{1}{2}

分式相乘:

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

= \frac{6 \cdot 1 \cdot 1}{1 \cdot 2 \cdot 2}

约分:

1

= \frac{6 \cdot 1}{2 \cdot 2}

数字相乘:

6 \cdot 1 = 6

= \frac{6}{2 \cdot 2}

数字相乘:

2 \cdot 2 = 4

= \frac{6}{4}

约分:

2

= \frac{3}{2}

= \frac{3}{2}

流行的例子

arccot(tan((2pi)/3))

arccot (tan (\frac{2 π}{3}))

sin (\frac{1}{0.1})

cos(arcsin(-5/13))

cos (arcsin (- \frac{5}{13}))

150^{22}+35^2-2(150)(35)cos(110)

15 0^{22} + 3 5^{2} - 2 (150) (35) cos (11 0^{\circ})

sin(2arccos(-12/13))

sin (2 arccos (- \frac{12}{13}))