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受欢迎的三角函数 >

cos(x)= 9/12

解答

cos (x) = \frac{9}{12}

解答

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

+1

度数

x = 41.40962 \dots^{\circ} + 36 0^{\circ} n, x = 318.59037 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos (x) = \frac{9}{12}

约分:

3

cos (x) = \frac{3}{4}

使用反三角函数性质

cos (x) = \frac{3}{4}

cos (x) = \frac{3}{4}

的通解

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

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

以小数形式表示解

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

作图

流行的例子

2tan^2(x)+1=sec^2(x)+sin^2(x)+cos^2(x)

cos^2(x)+5sin^2(x)=1

-1=-4sec(y)-sec^2(y)-5