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受欢迎的三角函数 >

6sin(b)+sqrt(12)=0

解答

6 sin (b) + 12 = 0

解答

b = - 0.61547 \dots + 2 πn, b = π + 0.61547 \dots + 2 πn

+1

度数

b = - 35.26438 \dots^{\circ} + 36 0^{\circ} n, b = 215.26438 \dots^{\circ} + 36 0^{\circ} n

求解步骤

6 sin (b) + 12 = 0

12 = 23

12

12

质因数分解:

2^{2} \cdot 3

12

12

除以

212 = 6 \cdot 2

= 2 \cdot 6

6

除以

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

都是质数，因此无法进一步因数分解

= 2 \cdot 2 \cdot 3

= 2^{2} \cdot 3

= 2^{2} \cdot 3

使用根式运算法则:

n ab = n a n b

= 3 2^{2}

使用根式运算法则:

n a^{n} = a

2^{2} = 2

= 23

6 sin (b) + 23 = 0

将

23

到右边

6 sin (b) + 23 = 0

两边减去

23

6 sin (b) + 23 - 23 = 0 - 23

化简

6 sin (b) = - 23

6 sin (b) = - 23

两边除以

6

6 sin (b) = - 23

两边除以

6

\frac{6 sin ( b )}{6} = \frac{- 2 3}{6}

化简

\frac{6 sin ( b )}{6} = \frac{- 2 3}{6}

化简

\frac{6 sin ( b )}{6} : sin (b)

\frac{6 sin ( b )}{6}

数字相除:

\frac{6}{6} = 1

= sin (b)

化简

\frac{- 2 3}{6} : - \frac{3}{3}

\frac{- 2 3}{6}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{2 3}{6}

约分:

2

= - \frac{3}{3}

sin (b) = - \frac{3}{3}

sin (b) = - \frac{3}{3}

sin (b) = - \frac{3}{3}

使用反三角函数性质

sin (b) = - \frac{3}{3}

sin (b) = - \frac{3}{3}

的通解

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

b = arcsin (- \frac{3}{3}) + 2 πn, b = π + arcsin (\frac{3}{3}) + 2 πn

b = arcsin (- \frac{3}{3}) + 2 πn, b = π + arcsin (\frac{3}{3}) + 2 πn

以小数形式表示解

b = - 0.61547 \dots + 2 πn, b = π + 0.61547 \dots + 2 πn

作图

流行的例子

tan(x)+sec(x)-1=0

tan (x) + sec (x) - 1 = 0

sin(x)(sin(x)-1)=3cos^2(x)

sin (x) (sin (x) - 1) = 3 cos^{2} (x)

solvefor x,cos^2(x)=4p+6

so l v e f or x, cos^{2} (x) = 4 p + 6

2sin^2(x)-7sin(x)=0

2 sin^{2} (x) - 7 sin (x) = 0

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