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受欢迎的三角函数 >

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

解答

求解

x, arctan (x) + arctan (y) = \frac{π}{2}

解答

x = tan (\frac{π}{2} - arctan (y))

求解步骤

arctan (x) + arctan (y) = \frac{π}{2}

将

arctan (y)

到右边

arctan (x) + arctan (y) = \frac{π}{2}

两边减去

arctan (y)

arctan (x) + arctan (y) - arctan (y) = \frac{π}{2} - arctan (y)

化简

arctan (x) = \frac{π}{2} - arctan (y)

arctan (x) = \frac{π}{2} - arctan (y)

使用反三角函数性质

arctan (x) = \frac{π}{2} - arctan (y)

arctan (x) = a \Rightarrow x = tan (a)

x = tan (\frac{π}{2} - arctan (y))

x = tan (\frac{π}{2} - arctan (y))

作图

流行的例子

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

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

3 cos (2 x) - 1 = 0

sin^2(x)+cos(2x)=0

sin^{2} (x) + cos (2 x) = 0

sin(x)=cos(x+pi/2)

sin (x) = cos (x + \frac{π}{2})

cos(2θ)+3cos(θ)=1

cos (2 θ) + 3 cos (θ) = 1