zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

sin^2(x)-3=0

解答

sin^{2} (x) - 3 = 0

解答

x \in R 无解

求解步骤

sin^{2} (x) - 3 = 0

用替代法求解

sin^{2} (x) - 3 = 0

令

: sin (x) = u

u^{2} - 3 = 0

u^{2} - 3 = 0 : u = 3, u = - 3

u^{2} - 3 = 0

将

3

到右边

u^{2} - 3 = 0

两边加上

3

u^{2} - 3 + 3 = 0 + 3

化简

u^{2} = 3

u^{2} = 3

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

u = 3, u = - 3

u = sin (x)

代回

sin (x) = 3, sin (x) = - 3

sin (x) = 3, sin (x) = - 3

sin (x) = 3 :

无解

sin (x) = 3

- 1 \leq sin (x) \leq 1

无解

sin (x) = - 3 :

无解

sin (x) = - 3

- 1 \leq sin (x) \leq 1

无解

合并所有解

x \in R 无解

作图

流行的例子

cos(θ)csc(θ)=-sqrt(2)cos(θ)

cos (θ) csc (θ) = - 2 cos (θ)

csc^2(x)-4cot(x)=-2

csc^{2} (x) - 4 cot (x) = - 2

sin(2x-pi/3)=(sqrt(3))/2

sin (2 x - \frac{π}{3}) = \frac{3}{2}

-sin^3(t)+sin(2t)cos(t)=0

- sin^{3} (t) + sin (2 t) cos (t) = 0

tan(θ)=sqrt(3)tan(45)

tan (θ) = 3 tan (4 5^{\circ})