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受欢迎的三角函数 >

6sin(x)+1=0

解答

6 sin (x) + 1 = 0

解答

x = - 0.16744 \dots + 2 πn, x = π + 0.16744 \dots + 2 πn

+1

度数

x = - 9.59406 \dots^{\circ} + 36 0^{\circ} n, x = 189.59406 \dots^{\circ} + 36 0^{\circ} n

求解步骤

6 sin (x) + 1 = 0

将

1

到右边

6 sin (x) + 1 = 0

两边减去

1

6 sin (x) + 1 - 1 = 0 - 1

化简

6 sin (x) = - 1

6 sin (x) = - 1

两边除以

6

6 sin (x) = - 1

两边除以

6

\frac{6 sin ( x )}{6} = \frac{- 1}{6}

化简

sin (x) = - \frac{1}{6}

sin (x) = - \frac{1}{6}

使用反三角函数性质

sin (x) = - \frac{1}{6}

sin (x) = - \frac{1}{6}

的通解

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

x = arcsin (- \frac{1}{6}) + 2 πn, x = π + arcsin (\frac{1}{6}) + 2 πn

x = arcsin (- \frac{1}{6}) + 2 πn, x = π + arcsin (\frac{1}{6}) + 2 πn

以小数形式表示解

x = - 0.16744 \dots + 2 πn, x = π + 0.16744 \dots + 2 πn

作图

流行的例子

pi+3arccos(x+1)=0

π + 3 arccos (x + 1) = 0

solvefor x,sin(2x)-sin(x)=0

so l v e f or x, sin (2 x) - sin (x) = 0

cot^2(θ)-3csc(θ)+3=0

cot^{2} (θ) - 3 csc (θ) + 3 = 0

solvefor x,arctan(x)+arctan(y)= pi/2

so l v e f or x, arctan (x) + arctan (y) = \frac{π}{2}

2sin(x)=2sin(2x)

2 sin (x) = 2 sin (2 x)