csc(x)=sec(41)

解答

csc (x) = sec (4 1^{\circ})

x = 0.85521 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.85521 \dots + 36 0^{\circ} n

弧度

x = 0.85521 \dots + 2 πn, x = π - 0.85521 \dots + 2 πn

求解步骤

csc (x) = sec (4 1^{\circ})

使用反三角函数性质

csc (x) = sec (4 1^{\circ})

csc (x) = sec (4 1^{\circ})

的通解

csc (x) = a \Rightarrow x = arccsc (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arccsc (a) + 36 0^{\circ} n

x = arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n

x = arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n

以小数形式表示解

x = 0.85521 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.85521 \dots + 36 0^{\circ} n

sin (x) - sin (3 x) = 0

2 sin^{2} (θ) - 5 cos (θ) + 1 = 0

sec^{2} (x) cos (x) = cos (x), 0^{\circ} < x < 36 0^{\circ}

5 sin (x) - 4 = 2 cos (2 x)

csc (x) + cot (x) = 0