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 >

arcsin(cos(pi/9))

解答

arcsin (cos (\frac{π}{9}))

解答

\frac{7 π}{18}

+1

十进制

70

求解步骤

arcsin (cos (\frac{π}{9}))

使用三角恒等式改写:

cos (\frac{π}{9}) = sin (\frac{7 π}{18})

cos (\frac{π}{9})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - \frac{π}{9})

= sin (\frac{7 π}{18})

= arcsin (sin (\frac{7 π}{18}))

Use the inverse trig property:

\frac{7 π}{18}

arcsin (sin (\frac{7 π}{18}))

对于

- \frac{π}{2} \leq x \leq \frac{π}{2}, a rcs in (s in (x)) = x

- \frac{π}{2} \leq \frac{7 π}{18} \leq \frac{π}{2}

= \frac{7 π}{18}

= \frac{7 π}{18}

流行的例子

2 sec^{2} (\frac{π}{4})

csc (- 22 5^{\circ})

arccos (0.707)

cos (\frac{2 π}{6})

2sin(75)cos(75)

2 sin (7 5^{\circ}) cos (7 5^{\circ})