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受欢迎的三角函数 >

cos(a-5)=0.675

解答

cos (a - 5) = 0.675

解答

a = 0.82983 \dots + 2 πn + 5, a = 2 π - 0.82983 \dots + 2 πn + 5

+1

度数

a = 334.02474 \dots^{\circ} + 36 0^{\circ} n, a = 598.93304 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos (a - 5) = 0.675

使用反三角函数性质

cos (a - 5) = 0.675

cos (a - 5) = 0.675

的通解

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

a - 5 = arccos (0.675) + 2 πn, a - 5 = 2 π - arccos (0.675) + 2 πn

a - 5 = arccos (0.675) + 2 πn, a - 5 = 2 π - arccos (0.675) + 2 πn

解

a - 5 = arccos (0.675) + 2 πn : a = arccos (0.675) + 2 πn + 5

a - 5 = arccos (0.675) + 2 πn

将

5

到右边

a - 5 = arccos (0.675) + 2 πn

两边加上

5

a - 5 + 5 = arccos (0.675) + 2 πn + 5

化简

a = arccos (0.675) + 2 πn + 5

a = arccos (0.675) + 2 πn + 5

解

a - 5 = 2 π - arccos (0.675) + 2 πn : a = 2 π - arccos (0.675) + 2 πn + 5

a - 5 = 2 π - arccos (0.675) + 2 πn

将

5

到右边

a - 5 = 2 π - arccos (0.675) + 2 πn

两边加上

5

a - 5 + 5 = 2 π - arccos (0.675) + 2 πn + 5

化简

a = 2 π - arccos (0.675) + 2 πn + 5

a = 2 π - arccos (0.675) + 2 πn + 5

a = arccos (0.675) + 2 πn + 5, a = 2 π - arccos (0.675) + 2 πn + 5

以小数形式表示解

a = 0.82983 \dots + 2 πn + 5, a = 2 π - 0.82983 \dots + 2 πn + 5

作图

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