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受欢迎的三角函数 >

-4-6cos(θ)=-7

解答

- 4 - 6 cos (θ) = - 7

解答

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

+1

度数

θ = 6 0^{\circ} + 36 0^{\circ} n, θ = 30 0^{\circ} + 36 0^{\circ} n

求解步骤

- 4 - 6 cos (θ) = - 7

将

4

到右边

- 4 - 6 cos (θ) = - 7

两边加上

4

- 4 - 6 cos (θ) + 4 = - 7 + 4

化简

- 6 cos (θ) = - 3

- 6 cos (θ) = - 3

两边除以

- 6

- 6 cos (θ) = - 3

两边除以

- 6

\frac{- 6 cos ( θ )}{- 6} = \frac{- 3}{- 6}

化简

\frac{- 6 cos ( θ )}{- 6} = \frac{- 3}{- 6}

化简

\frac{- 6 cos ( θ )}{- 6} : cos (θ)

\frac{- 6 cos ( θ )}{- 6}

使用分式法则:

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

= \frac{6 cos ( θ )}{6}

数字相除:

\frac{6}{6} = 1

= cos (θ)

化简

\frac{- 3}{- 6} : \frac{1}{2}

\frac{- 3}{- 6}

使用分式法则:

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

= \frac{3}{6}

约分:

3

= \frac{1}{2}

cos (θ) = \frac{1}{2}

cos (θ) = \frac{1}{2}

cos (θ) = \frac{1}{2}

cos (θ) = \frac{1}{2}

的通解

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

作图

流行的例子

cos(x)=(sqrt(3))/(sqrt(2))

cos (x) = \frac{3}{2}

sin(θ)=-(sqrt(3))/2 ,0<= θ<2pi

sin (θ) = - \frac{3}{2}, 0 \leq θ < 2 π

3sin(2θ)=5cos(θ)

3 sin (2 θ) = 5 cos (θ)

3 sec (x) = 6

6=6sin(2pi(47)t),0<t<0.0212

6 = 6 sin (2 π (47) t), 0 < t < 0.0212