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受欢迎的三角函数 >

cos(a)=-1/4

解答

cos (a) = - \frac{1}{4}

解答

a = 1.82347 \dots + 2 πn, a = - 1.82347 \dots + 2 πn

+1

度数

a = 104.47751 \dots^{\circ} + 36 0^{\circ} n, a = - 104.47751 \dots^{\circ} + 36 0^{\circ} n

求解步骤

cos (a) = - \frac{1}{4}

使用反三角函数性质

cos (a) = - \frac{1}{4}

cos (a) = - \frac{1}{4}

的通解

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

a = arccos (- \frac{1}{4}) + 2 πn, a = - arccos (- \frac{1}{4}) + 2 πn

a = arccos (- \frac{1}{4}) + 2 πn, a = - arccos (- \frac{1}{4}) + 2 πn

以小数形式表示解

a = 1.82347 \dots + 2 πn, a = - 1.82347 \dots + 2 πn

作图

流行的例子

-8sec^2(x)-26tan(x)=12

- 8 sec^{2} (x) - 26 tan (x) = 12

tan (θ) = 0.3

tan (θ) = 0.8

2tan(x)+sec^2(x)=0

2 tan (x) + sec^{2} (x) = 0

cos (x) = \frac{1}{9}