solvefor x,ln(y)=sin(x)

解答

求解

x, ln (y) = sin (x)

x = arcsin (ln (y)) + 2 πn, x = π + arcsin (- ln (y)) + 2 πn

求解步骤

ln (y) = sin (x)

交换两边

sin (x) = ln (y)

使用反三角函数性质

sin (x) = ln (y)

sin (x) = ln (y)

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (ln (y)) + 2 πn, x = π + arcsin (- ln (y)) + 2 πn

x = arcsin (ln (y)) + 2 πn, x = π + arcsin (- ln (y)) + 2 πn

sin (θ) + cos (θ) = \frac{3}{2}

sin (x) + \frac{π}{2} = cos (x)

5 cos (x) - 3 = 9 cos (x) - 5

3 sin^{2} (x) - 8 sin (x) + 4 = 0

3 tan (x) = tan (2 x)