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受欢迎的三角函数 >

-6sin(θ)=-3sqrt(2)

解答

- 6 sin (θ) = - 32

解答

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

+1

度数

θ = 4 5^{\circ} + 36 0^{\circ} n, θ = 13 5^{\circ} + 36 0^{\circ} n

求解步骤

- 6 sin (θ) = - 32

两边除以

- 6

- 6 sin (θ) = - 32

两边除以

- 6

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

化简

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

化简

\frac{- 6 sin ( θ )}{- 6} : sin (θ)

\frac{- 6 sin ( θ )}{- 6}

使用分式法则:

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

= \frac{6 sin ( θ )}{6}

数字相除:

\frac{6}{6} = 1

= sin (θ)

化简

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

\frac{- 3 2}{- 6}

使用分式法则:

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

= \frac{3 2}{6}

约分:

3

= \frac{2}{2}

sin (θ) = \frac{2}{2}

sin (θ) = \frac{2}{2}

sin (θ) = \frac{2}{2}

sin (θ) = \frac{2}{2}

的通解

sin (x)

周期表（周期为

2 πn

"）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

作图

流行的例子

cos(x)=(4(1/2)-1)/3

cos (x) = \frac{4 ( \frac{1}{2} ) - 1}{3}

sin(x)= pi/4+(0pi)/2

sin (x) = \frac{π}{4} + \frac{0 π}{2}

cos(2x)-sin(x)-1=0

cos (2 x) - sin (x) - 1 = 0

cos (x) = \frac{5}{20}

sin(x)-sqrt(3)cos(x)=1,0<= x<= 2pi

sin (x) - 3 cos (x) = 1, 0 \leq x \leq 2 π