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受欢迎的三角函数 >

271.63=(3sqrt(3)*169.7)/pi cos(α)

解答

271.63 = \frac{3 3 \cdot 169.7}{π} cos (α)

解答

α = 0.25464 \dots + 2 πn, α = 2 π - 0.25464 \dots + 2 πn

+1

度数

α = 14.59036 \dots^{\circ} + 36 0^{\circ} n, α = 345.40963 \dots^{\circ} + 36 0^{\circ} n

求解步骤

271.63 = \frac{3 3 \cdot 169.7}{π} cos (α)

交换两边

\frac{3 3 \cdot 169.7}{π} cos (α) = 271.63

化简

\frac{3 3 \cdot 169.7}{π} : \frac{3 \cdot 509.1}{π}

\frac{3 3 \cdot 169.7}{π}

数字相乘:

3 \cdot 169.7 = 509.1

= \frac{3 \cdot 509.1}{π}

\frac{3 \cdot 509.1}{π} cos (α) = 271.63

在两边乘以

π

\frac{3 \cdot 509.1}{π} cos (α) = 271.63

在两边乘以

π

\frac{3 \cdot 509.1}{π} cos (α) π = 271.63 π

化简

881.78706 \dots cos (α) = 853.35081 \dots

881.78706 \dots cos (α) = 853.35081 \dots

两边除以

881.78706 \dots

881.78706 \dots cos (α) = 853.35081 \dots

两边除以

881.78706 \dots

\frac{881.78706 \dots cos ( α )}{881.78706 \dots} = \frac{853.35081 \dots}{881.78706 \dots}

化简

cos (α) = 0.96775 \dots

cos (α) = 0.96775 \dots

使用反三角函数性质

cos (α) = 0.96775 \dots

cos (α) = 0.96775 \dots

的通解

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

α = arccos (0.96775 \dots) + 2 πn, α = 2 π - arccos (0.96775 \dots) + 2 πn

α = arccos (0.96775 \dots) + 2 πn, α = 2 π - arccos (0.96775 \dots) + 2 πn

以小数形式表示解

α = 0.25464 \dots + 2 πn, α = 2 π - 0.25464 \dots + 2 πn

作图

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