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受欢迎的三角函数 >

arctan((0.5}{-\frac{sqrt(3))/2})

解答

arctan (\frac{0.5}{- \frac{3}{2}})

解答

- \frac{π}{6}

+1

十进制

- 30

求解步骤

arctan (\frac{0.5}{- \frac{3}{2}})

= arctan (\frac{\frac{1}{2}}{- \frac{3}{2}})

化简:

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

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

使用分式法则:

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

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

分式相除:

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

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

整理后得

= - \frac{2}{2 3}

约分:

2

= - \frac{1}{3}

- \frac{1}{3}

有理化:

- \frac{3}{3}

- \frac{1}{3}

乘以共轭根式

\frac{3}{3}

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

1 \cdot 3 = 3

33 = 3

33

使用根式运算法则:

a a = a

33 = 3

= 3

= - \frac{3}{3}

= - \frac{3}{3}

= arctan (- \frac{3}{3})

利用以下特性:

arctan (- x) = - arctan (x)

arctan (- \frac{3}{3}) = - arctan (\frac{3}{3})

= - arctan (\frac{3}{3})

使用以下普通恒等式:

arctan (\frac{3}{3}) = \frac{π}{6}

arctan (\frac{3}{3})

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{6}

= - \frac{π}{6}

流行的例子

arcsin (0.9975)

tan^2(45-7.805)

tan^{2} (4 5^{\circ} - 7.805)

(1.52*sin(51))/(1.33)

\frac{1.52 \cdot sin ( 5 1 ^{\circ} )}{1.33}

4 \cdot 0.11 \cdot sin (3 0^{\circ})

(sin(16))/(1+cos(16))

\frac{sin ( 1 6 ^{\circ} )}{1 + cos ( 1 6 ^{\circ} )}