arcsin(sin((4pi)/7))

解答

arcsin (sin (\frac{4 π}{7}))

\frac{3 π}{7}

十进制

77.14

求解步骤

arcsin (sin (\frac{4 π}{7}))

Use the inverse trig property:

\frac{3 π}{7}

arcsin (sin (\frac{4 π}{7}))

对于

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

使用三角恒等式改写:

sin (\frac{4 π}{7}) = sin (\frac{3 π}{7})

sin (\frac{4 π}{7})

sin (x) = sin (π - (x))

= sin (π - \frac{4 π}{7})

= sin (\frac{3 π}{7})

= arcsin (sin (\frac{3 π}{7}))

- \frac{π}{2} \leq \frac{3 π}{7} \leq \frac{π}{2}

= \frac{3 π}{7}

= \frac{3 π}{7}

cos (π) + sin (π)

- cos (3 π)

10 cos (4 0^{\circ})

arcsin (\frac{2}{2})

csc (8)