Question

tanx+ cotx =2cosec2x​

Answer 1

Answer:

Explanation:

Step-by-step explanation:

LHS = tan(x) + 1/tan(x) = { [tan(x)]^2 + 1}/tan(x)

= [sec(x)]^2 /tan(x) = 1 /sin(x)cos(x) = 2 /sin(2x) = 2*cosec(2x) = RHS

tan(75) + cot(75) = 2*cosec(150) = 2 /sin(150) = 2 /sin(30) = 4