arctan(tan(5))

解答

arctan (tan (5))

5 - 2 π

十进制

- 73.52

求解步骤

arctan (tan (5))

Use the inverse trig property:

5 - 2 π

arctan (tan (5))

对于

- \frac{π}{2} < x < \frac{π}{2}, a rc t an (t an (x)) = x

使用三角恒等式改写:

tan (5) = tan (5 - 2 π)

tan (5)

tan (x + π \cdot k) = tan (x)

= tan (5 - 2 π)

= arctan (tan (5 - 2 π))

- \frac{π}{2} < 5 - 2 π < \frac{π}{2}

= 5 - 2 π

= 5 - 2 π

4 cos (1 5^{\circ})

csc (12 5^{\circ}) csc (31 5^{\circ})

sin (3) cos (1.4) - cos (3) sin (1.4)

20 \cdot sin (3 7^{\circ})

2 cot (\frac{π}{2}) csc (\frac{π}{2}) - csc^{2} (\frac{π}{2})