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受欢迎的三角函数 >

300cos(70)=375cos(θ)

解答

300 cos (7 0^{\circ}) = 375 cos (θ)

解答

θ = 1.29364 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.29364 \dots + 36 0^{\circ} n

+1

弧度

θ = 1.29364 \dots + 2 πn, θ = 2 π - 1.29364 \dots + 2 πn

求解步骤

300 cos (7 0^{\circ}) = 375 cos (θ)

交换两边

375 cos (θ) = 300 cos (7 0^{\circ})

两边除以

375

375 cos (θ) = 300 cos (7 0^{\circ})

两边除以

375

\frac{375 cos ( θ )}{375} = \frac{300 cos ( 7 0 ^{\circ} )}{375}

化简

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

使用反三角函数性质

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

cos (θ) = \frac{4 cos ( 7 0 ^{\circ} )}{5}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

θ = arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n

θ = arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{4 cos ( 7 0 ^{\circ} )}{5}) + 36 0^{\circ} n

以小数形式表示解

θ = 1.29364 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 1.29364 \dots + 36 0^{\circ} n

作图

流行的例子

812.25=399.6001+400-1140cos(a)

812.25 = 399.6001 + 400 - 1140 cos (a)

- 0.6 = sin (2 x)

solvefor x,(sin(pix)+cos(piy))^5=36

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