cos(x)=-0.346

解答

cos (x) = - 0.346

x = 1.92410 \dots + 2 πn, x = - 1.92410 \dots + 2 πn

度数

x = 110.24285 \dots^{\circ} + 36 0^{\circ} n, x = - 110.24285 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos (x) = - 0.346

使用反三角函数性质

cos (x) = - 0.346

cos (x) = - 0.346

的通解

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- 0.346) + 2 πn, x = - arccos (- 0.346) + 2 πn

x = arccos (- 0.346) + 2 πn, x = - arccos (- 0.346) + 2 πn

以小数形式表示解

x = 1.92410 \dots + 2 πn, x = - 1.92410 \dots + 2 πn

3 sin (t) = - 3 + cos (t)

\frac{tan ( x )}{3} = 3

cos (x) = 0.45, cos (π - x)

4 cos^{2} (x) + 9 sin (x) - 9 = 0

tan (θ) = - \frac{12}{5}, \frac{π}{2} \leq θ \leq π