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0.9=cos(x)

解答

0.9 = cos (x)

解答

x = 0.45102 \dots + 2 πn, x = 2 π - 0.45102 \dots + 2 πn

+1

度数

x = 25.84193 \dots^{\circ} + 36 0^{\circ} n, x = 334.15806 \dots^{\circ} + 36 0^{\circ} n

求解步骤

0.9 = cos (x)

交换两边

cos (x) = 0.9

使用反三角函数性质

cos (x) = 0.9

cos (x) = 0.9

的通解

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

x = arccos (0.9) + 2 πn, x = 2 π - arccos (0.9) + 2 πn

x = arccos (0.9) + 2 πn, x = 2 π - arccos (0.9) + 2 πn

以小数形式表示解

x = 0.45102 \dots + 2 πn, x = 2 π - 0.45102 \dots + 2 πn

流行的例子

cos (x) = \frac{8}{9}

5-6cos(θ)=3sqrt(3)+5-3cos(θ)

5 - 6 cos (θ) = 33 + 5 - 3 cos (θ)

tan (4 θ) = 0

4 sin (x) = tan (x)

sin (a) = \frac{7}{25}