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受欢迎的三角函数 >

3-5cos(θ)=0

解答

3 - 5 cos (θ) = 0

解答

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

+1

度数

θ = 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 306.86989 \dots^{\circ} + 36 0^{\circ} n

求解步骤

3 - 5 cos (θ) = 0

将

3

到右边

3 - 5 cos (θ) = 0

两边减去

3

3 - 5 cos (θ) - 3 = 0 - 3

化简

- 5 cos (θ) = - 3

- 5 cos (θ) = - 3

两边除以

- 5

- 5 cos (θ) = - 3

两边除以

- 5

\frac{- 5 cos ( θ )}{- 5} = \frac{- 3}{- 5}

化简

cos (θ) = \frac{3}{5}

cos (θ) = \frac{3}{5}

使用反三角函数性质

cos (θ) = \frac{3}{5}

cos (θ) = \frac{3}{5}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

θ = arccos (\frac{3}{5}) + 2 πn, θ = 2 π - arccos (\frac{3}{5}) + 2 πn

θ = arccos (\frac{3}{5}) + 2 πn, θ = 2 π - arccos (\frac{3}{5}) + 2 πn

以小数形式表示解

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

作图

流行的例子

tan (x) = \frac{48}{50}

(sin(54))/7 =(sin(x))/(10)

\frac{sin ( 5 4 ^{\circ} )}{7} = \frac{sin ( x )}{10}

sin (y) = \frac{- 1}{2}

5sin(3x)-11=3sin(3x)-12

5 sin (3 x) - 11 = 3 sin (3 x) - 12

885cos(θ)-70=cos(250)+250

885 cos (θ) - 70 = cos (25 0^{\circ}) + 25 0^{\circ}