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 >

(18)/(cos(30))

解答

\frac{18}{cos ( 3 0 ^{\circ} )}

解答

123

+1

十进制

20.78460 \dots

求解步骤

\frac{18}{cos ( 3 0 ^{\circ} )}

使用以下普通恒等式:

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

cos (3 0^{\circ})

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}

= \frac{3}{2}

= \frac{18}{\frac{3}{2}}

化简

\frac{18}{\frac{3}{2}} : 123

\frac{18}{\frac{3}{2}}

使用分式法则:

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

= \frac{18 \cdot 2}{3}

数字相乘:

18 \cdot 2 = 36

= \frac{36}{3}

分解

36 : 2^{2} \cdot 3^{2}

因式分解

36 = 2^{2} \cdot 3^{2}

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

消掉

\frac{2 ^{2} \cdot 3 ^{2}}{3} : 2^{2} \cdot 3^{\frac{3}{2}}

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

使用根式运算法则:

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

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

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

使用指数法则:

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

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

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

数字相减:

2 - \frac{1}{2} = \frac{3}{2}

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

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

3^{\frac{3}{2}} = 33

3^{\frac{3}{2}}

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

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

使用指数法则:

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

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

整理后得

= 33

= 2^{2} \cdot 33

2^{2} = 4

= 4 \cdot 33

数字相乘:

4 \cdot 3 = 12

= 123

= 123

流行的例子

cos (3 0^{\circ}) \cdot 400

cos (1 - i)

sin (63. 4^{\circ})

cos (1.3)

100*(|1-sec(-0.01)|)/(|sec(-0.01)|)

100 \cdot \frac{∣ 1 - sec ( - 0.01 ) ∣}{∣ sec ( - 0.01 ) ∣}