Inverse Trigonometric Function – Graph cot⁻¹(cotx)
Graph y = cot⁻¹(cotx):
y = cot⁻¹(cotx)
coty = cotx
The general solution of cotx = cotα is nπ + α, n ϵ z
Now general solution of coty = cotx is y = nπ + x, n ϵ z
y = nπ + x ….(1)
Equation (1) Put n = 0
y = (0)π + x
y = x
Equation (1) Put n = 1
y = (1)π + x
y = π + x
Equation (1) Put n = 2
y = (2) π + x
y = 2π + x
Equation (1) Put n = -1
y = (-1) π + x
y = -π + x
Draw the graph y = cot⁻¹(cotx)
