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 >

sin(arcsin(1/6)+arctan(-5))

解答

sin (arcsin (\frac{1}{6}) + arctan (- 5))

解答

\frac{26 - 5 910}{156}

+1

十进制

- 0.93417 \dots

求解步骤

sin (arcsin (\frac{1}{6}) + arctan (- 5))

利用以下特性:

arctan (- x) = - arctan (x)

arctan (- 5) = - arctan (5)

= sin (arcsin (\frac{1}{6}) - arctan (5))

使用三角恒等式改写:

sin (arcsin (\frac{1}{6})) cos (arctan (5)) - cos (arcsin (\frac{1}{6})) sin (arctan (5))

sin (arcsin (\frac{1}{6}) - arctan (5))

使用角差恒等式:

sin (s - t) = sin (s) cos (t) - cos (s) sin (t)

= sin (arcsin (\frac{1}{6})) cos (arctan (5)) - cos (arcsin (\frac{1}{6})) sin (arctan (5))

= sin (arcsin (\frac{1}{6})) cos (arctan (5)) - cos (arcsin (\frac{1}{6})) sin (arctan (5))

使用三角恒等式改写:

sin (arcsin (\frac{1}{6})) = \frac{1}{6}

利用以下特性:

sin (arcsin (x)) = x

= \frac{1}{6}

使用三角恒等式改写:

cos (arctan (5)) = \frac{26}{26}

cos (arctan (5))

使用三角恒等式改写:

cos (arctan (5)) = \frac{1 + 5 ^{2}}{1 + 5 ^{2}}

利用以下特性:

cos (arctan (x)) = \frac{1 + x ^{2}}{1 + x ^{2}}

= \frac{1 + 5 ^{2}}{1 + 5 ^{2}}

= \frac{1 + 5 ^{2}}{1 + 5 ^{2}}

化简

= \frac{26}{26}

使用三角恒等式改写:

cos (arcsin (\frac{1}{6})) = \frac{35}{6}

cos (arcsin (\frac{1}{6}))

使用三角恒等式改写:

cos (arcsin (\frac{1}{6})) = 1 - (\frac{1}{6})^{2}

利用以下特性:

cos (arcsin (x)) = 1 - x^{2}

= 1 - (\frac{1}{6})^{2}

= 1 - (\frac{1}{6})^{2}

化简

= \frac{35}{6}

使用三角恒等式改写:

sin (arctan (5)) = \frac{5 26}{26}

sin (arctan (5))

使用三角恒等式改写:

sin (arctan (5)) = \frac{5 1 + 5 ^{2}}{1 + 5 ^{2}}

利用以下特性:

sin (arctan (x)) = \frac{x 1 + x ^{2}}{1 + x ^{2}}

= \frac{5 1 + 5 ^{2}}{1 + 5 ^{2}}

= \frac{5 1 + 5 ^{2}}{1 + 5 ^{2}}

化简

= \frac{5 26}{26}

= \frac{1}{6} \cdot \frac{26}{26} - \frac{35}{6} \cdot \frac{5 26}{26}

化简

\frac{1}{6} \cdot \frac{26}{26} - \frac{35}{6} \cdot \frac{5 26}{26} : \frac{26 - 5 910}{156}

\frac{1}{6} \cdot \frac{26}{26} - \frac{35}{6} \cdot \frac{5 26}{26}

\frac{1}{6} \cdot \frac{26}{26} = \frac{26}{156}

\frac{1}{6} \cdot \frac{26}{26}

分式相乘:

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

= \frac{1 \cdot 26}{6 \cdot 26}

乘以:

1 \cdot 26 = 26

= \frac{26}{6 \cdot 26}

数字相乘:

6 \cdot 26 = 156

= \frac{26}{156}

\frac{35}{6} \cdot \frac{5 26}{26} = \frac{5 910}{156}

\frac{35}{6} \cdot \frac{5 26}{26}

分式相乘:

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

= \frac{35 \cdot 5 26}{6 \cdot 26}

数字相乘:

6 \cdot 26 = 156

= \frac{5 35 26}{156}

化简

35 \cdot 526 : 5910

35 \cdot 526

使用根式运算法则:

a b = a \cdot b

3526 = 35 \cdot 26

= 5 35 \cdot 26

数字相乘:

35 \cdot 26 = 910

= 5910

= \frac{5 910}{156}

= \frac{26}{156} - \frac{5 910}{156}

使用法则

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

= \frac{26 - 5 910}{156}

= \frac{26 - 5 910}{156}

流行的例子

sec(arcsin(24/25))

sec (arcsin (\frac{24}{25}))

400 sin (6 0^{\circ})

sin^2(60)+cos^2(60)

sin^{2} (6 0^{\circ}) + cos^{2} (6 0^{\circ})

arcsin((2.5)/5)

arcsin (\frac{2.5}{5})

5 cos (5 0^{\circ})