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受欢迎的三角函数 >

sin^2(θ)-16=0

解答

sin^{2} (θ) - 16 = 0

解答

θ \in R 无解

求解步骤

sin^{2} (θ) - 16 = 0

用替代法求解

sin^{2} (θ) - 16 = 0

令

: sin (θ) = u

u^{2} - 16 = 0

u^{2} - 16 = 0 : u = 4, u = - 4

u^{2} - 16 = 0

将

16

到右边

u^{2} - 16 = 0

两边加上

16

u^{2} - 16 + 16 = 0 + 16

化简

u^{2} = 16

u^{2} = 16

对于

x^{2} = f (a)

解为

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

u = 16, u = - 16

16 = 4

16

因式分解数字:

16 = 4^{2}

= 4^{2}

使用根式运算法则:

n a^{n} = a

4^{2} = 4

= 4

- 16 = - 4

- 16

16 = 4

16

因式分解数字:

16 = 4^{2}

= 4^{2}

使用根式运算法则:

n a^{n} = a

4^{2} = 4

= 4

= - 4

u = 4, u = - 4

u = sin (θ)

代回

sin (θ) = 4, sin (θ) = - 4

sin (θ) = 4, sin (θ) = - 4

sin (θ) = 4 :

无解

sin (θ) = 4

- 1 \leq sin (x) \leq 1

无解

sin (θ) = - 4 :

无解

sin (θ) = - 4

- 1 \leq sin (x) \leq 1

无解

合并所有解

θ \in R 无解

作图

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