cos(x)=((35))/((57))

解答

cos (x) = \frac{( 35 )}{( 57 )}

x = 0.90963 \dots + 2 πn, x = 2 π - 0.90963 \dots + 2 πn

度数

x = 52.11815 \dots^{\circ} + 36 0^{\circ} n, x = 307.88184 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos (x) = \frac{( 35 )}{( 57 )}

使用反三角函数性质

cos (x) = \frac{35}{57}

cos (x) = \frac{35}{57}

的通解

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

x = arccos (\frac{35}{57}) + 2 πn, x = 2 π - arccos (\frac{35}{57}) + 2 πn

x = arccos (\frac{35}{57}) + 2 πn, x = 2 π - arccos (\frac{35}{57}) + 2 πn

以小数形式表示解

x = 0.90963 \dots + 2 πn, x = 2 π - 0.90963 \dots + 2 πn