Inverse Trigonometric Function – Graph cot⁻¹(cotx)

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)