Question

solve the equation tan nx = cot mx​

Answer 1

Answer:

x =   (2k+1) π/2(m + n)

Step-by-step explanation:

solve the equation tan nx = cot mx​

Tan (nx)  = Cot (mx)

=> Tan (nx) = Tan ( kπ + π/2 - mx)

=> nx = kπ + π/2 - mx

=> (m + n)x = kπ + π/2

=> (m + n)x = (2kπ + π)/2

=>  (m + n)x = (2k+1) π/2

=> x =   (2k+1) π/2(m + n)