arcsin(cos((3pi)/4))

解答

arcsin (cos (\frac{3 π}{4}))

- \frac{π}{4}

十进制

- 45

求解步骤

arcsin (cos (\frac{3 π}{4}))

使用三角恒等式改写:

cos (\frac{3 π}{4}) = sin (- \frac{π}{4})

cos (\frac{3 π}{4})

sin (\frac{π}{2} - x) = cos (x)

= sin (\frac{π}{2} - \frac{3 π}{4})

= sin (- \frac{π}{4})

= arcsin (sin (- \frac{π}{4}))

Use the inverse trig property:

- \frac{π}{4}

arcsin (sin (- \frac{π}{4}))

对于

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

- \frac{π}{2} \leq - \frac{π}{4} \leq \frac{π}{2}

= - \frac{π}{4}

= - \frac{π}{4}

sin (7 5^{\circ}) - sin (1 5^{\circ})

sin (5 1^{\circ})

csc (- \frac{5 π}{4})

sin (arccos (\frac{4}{5}))

cos (\frac{23 π}{12})