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受欢迎的三角函数 >

3sin^2(c)-7sin(x)+2=0

解答

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

解答

x = arcsin (- \frac{- 3 sin ^{2} ( c ) - 2}{7}) + 2 πn, x = π + arcsin (\frac{- 3 sin ^{2} ( c ) - 2}{7}) + 2 πn

求解步骤

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

将

3 sin^{2} (c)

到右边

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

两边减去

3 sin^{2} (c)

3 sin^{2} (c) - 7 sin (x) + 2 - 3 sin^{2} (c) = 0 - 3 sin^{2} (c)

化简

- 7 sin (x) + 2 = - 3 sin^{2} (c)

- 7 sin (x) + 2 = - 3 sin^{2} (c)

将

2

到右边

- 7 sin (x) + 2 = - 3 sin^{2} (c)

两边减去

2

- 7 sin (x) + 2 - 2 = - 3 sin^{2} (c) - 2

化简

- 7 sin (x) = - 3 sin^{2} (c) - 2

- 7 sin (x) = - 3 sin^{2} (c) - 2

两边除以

- 7

- 7 sin (x) = - 3 sin^{2} (c) - 2

两边除以

- 7

\frac{- 7 sin ( x )}{- 7} = - \frac{3 sin ^{2} ( c )}{- 7} - \frac{2}{- 7}

化简

\frac{- 7 sin ( x )}{- 7} = - \frac{3 sin ^{2} ( c )}{- 7} - \frac{2}{- 7}

化简

\frac{- 7 sin ( x )}{- 7} : sin (x)

\frac{- 7 sin ( x )}{- 7}

使用分式法则:

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

= \frac{7 sin ( x )}{7}

数字相除:

\frac{7}{7} = 1

= sin (x)

化简

- \frac{3 sin ^{2} ( c )}{- 7} - \frac{2}{- 7} : - \frac{- 3 sin ^{2} ( c ) - 2}{7}

- \frac{3 sin ^{2} ( c )}{- 7} - \frac{2}{- 7}

使用法则

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 3 sin ^{2} ( c ) - 2}{- 7}

使用分式法则:

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

= - \frac{- 3 sin ^{2} ( c ) - 2}{7}

sin (x) = - \frac{- 3 sin ^{2} ( c ) - 2}{7}

sin (x) = - \frac{- 3 sin ^{2} ( c ) - 2}{7}

sin (x) = - \frac{- 3 sin ^{2} ( c ) - 2}{7}

使用反三角函数性质

sin (x) = - \frac{- 3 sin ^{2} ( c ) - 2}{7}

sin (x) = - \frac{- 3 sin ^{2} ( c ) - 2}{7}

的通解

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

x = arcsin (- \frac{- 3 sin ^{2} ( c ) - 2}{7}) + 2 πn, x = π + arcsin (\frac{- 3 sin ^{2} ( c ) - 2}{7}) + 2 πn

x = arcsin (- \frac{- 3 sin ^{2} ( c ) - 2}{7}) + 2 πn, x = π + arcsin (\frac{- 3 sin ^{2} ( c ) - 2}{7}) + 2 πn

作图

流行的例子

1+cos^2(x)=sin^4(x)

arctan(x+2)=arcsin(7/25)+arccos(4/5)