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 >

(600)/(sin(45))

解答

\frac{600}{sin ( 4 5 ^{\circ} )}

解答

6002

+1

十进制

848.52813 \dots

求解步骤

\frac{600}{sin ( 4 5 ^{\circ} )}

使用以下普通恒等式:

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 5^{\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{2}{2}

= \frac{600}{\frac{2}{2}}

化简

\frac{600}{\frac{2}{2}} : 6002

\frac{600}{\frac{2}{2}}

使用分式法则:

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

= \frac{600 \cdot 2}{2}

数字相乘:

600 \cdot 2 = 1200

= \frac{1200}{2}

分解

1200 : 2^{4} \cdot 5^{2} \cdot 3

因式分解

1200 = 2^{4} \cdot 5^{2} \cdot 3

= \frac{2 ^{4} \cdot 5 ^{2} \cdot 3}{2}

消掉

\frac{2 ^{4} \cdot 3 \cdot 5 ^{2}}{2} : 5^{2} \cdot 3 \cdot 2^{\frac{7}{2}}

\frac{2 ^{4} \cdot 3 \cdot 5 ^{2}}{2}

使用根式运算法则:

n a = a^{\frac{1}{n}}

2 = 2^{\frac{1}{2}}

= \frac{2 ^{4} \cdot 5 ^{2} \cdot 3}{2 ^{\frac{1}{2}}}

使用指数法则:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{2 ^{4}}{2 ^{\frac{1}{2}}} = 2^{4 - \frac{1}{2}}

= 5^{2} \cdot 3 \cdot 2^{- \frac{1}{2} + 4}

数字相减:

4 - \frac{1}{2} = \frac{7}{2}

= 5^{2} \cdot 3 \cdot 2^{\frac{7}{2}}

= 5^{2} \cdot 3 \cdot 2^{\frac{7}{2}}

2^{\frac{7}{2}} = 2^{3} 2

2^{\frac{7}{2}}

2^{\frac{7}{2}} = 2^{3 + \frac{1}{2}}

= 2^{3 + \frac{1}{2}}

使用指数法则:

x^{a + b} = x^{a} x^{b}

= 2^{3} \cdot 2^{\frac{1}{2}}

整理后得

= 2^{3} 2

= 5^{2} \cdot 3 \cdot 2^{3} 2

5^{2} = 25

= 2^{3} \cdot 25 \cdot 32

2^{3} = 8

= 25 \cdot 3 \cdot 82

数字相乘:

25 \cdot 3 \cdot 8 = 600

= 6002

= 6002

流行的例子

sin (4 (\frac{π}{4}))

\frac{sin ( 2 0 ^{\circ} )}{8}

cos (\frac{6 π}{8})

sin (15 9^{\circ})

tan(150)*sin(315)

tan (15 0^{\circ}) \cdot sin (31 5^{\circ})