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受欢迎的三角函数 >

(1.54)^2=2-2cos(x)

解答

(1.54)^{2} = 2 - 2 cos (x)

解答

x = 1.75768 \dots + 2 πn, x = - 1.75768 \dots + 2 πn

+1

度数

x = 100.70777 \dots^{\circ} + 36 0^{\circ} n, x = - 100.70777 \dots^{\circ} + 36 0^{\circ} n

求解步骤

(1.54)^{2} = 2 - 2 cos (x)

交换两边

2 - 2 cos (x) = 1.5 4^{2}

1.5 4^{2} = 2.3716

2 - 2 cos (x) = 2.3716

将

2

到右边

2 - 2 cos (x) = 2.3716

两边减去

2

2 - 2 cos (x) - 2 = 2.3716 - 2

化简

- 2 cos (x) = 0.3716

- 2 cos (x) = 0.3716

两边除以

- 2

- 2 cos (x) = 0.3716

两边除以

- 2

\frac{- 2 cos ( x )}{- 2} = \frac{0.3716}{- 2}

化简

cos (x) = - \frac{0.3716}{2}

cos (x) = - \frac{0.3716}{2}

使用反三角函数性质

cos (x) = - \frac{0.3716}{2}

cos (x) = - \frac{0.3716}{2}

的通解

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

x = arccos (- \frac{0.3716}{2}) + 2 πn, x = - arccos (- \frac{0.3716}{2}) + 2 πn

x = arccos (- \frac{0.3716}{2}) + 2 πn, x = - arccos (- \frac{0.3716}{2}) + 2 πn

以小数形式表示解

x = 1.75768 \dots + 2 πn, x = - 1.75768 \dots + 2 πn

作图

流行的例子

4sec(x)+8=0,0<= x<= 360

4 sec (x) + 8 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

tan (x) = 1.732

3cos(x/2)-cos(x)=2

3 cos (\frac{x}{2}) - cos (x) = 2

tan(x)-csc(2x)=0

tan (x) - csc (2 x) = 0

solvefor x,z=sin(x^2+y^2)

so l v e f or x, z = sin (x^{2} + y^{2})