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受欢迎的三角函数 >

cos(a)=(-3)/5

解答

cos (a) = \frac{- 3}{5}

解答

a = 2.21429 \dots + 2 πn, a = - 2.21429 \dots + 2 πn

+1

度数

a = 126.86989 \dots^{\circ} + 36 0^{\circ} n, a = - 126.86989 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos (a) = \frac{- 3}{5}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

cos (a) = - \frac{3}{5}

使用反三角函数性质

cos (a) = - \frac{3}{5}

cos (a) = - \frac{3}{5}

的通解

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

a = arccos (- \frac{3}{5}) + 2 πn, a = - arccos (- \frac{3}{5}) + 2 πn

a = arccos (- \frac{3}{5}) + 2 πn, a = - arccos (- \frac{3}{5}) + 2 πn

以小数形式表示解

a = 2.21429 \dots + 2 πn, a = - 2.21429 \dots + 2 πn

作图

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