Is `|t a n x+cot x|<|t a n x|+|cot x|` true for any `x ?` If it is true, then find the values of `xdot`

If t a n x=3cot x , then the general value of x is (A) npi+pi/6,"n" in "I" (B) npi+pi/3,"n" in "I" (C) npi+-pi/6,"n" in "I" (D) npi+-pi/3,"n" in "I"

For all real values of x ,cotx-2cot2x is equal to a. tan2x b. t a n x c. cot3x d. none of these

If tan x + cot x =2 , then sin^(2n)x + cos^(2n) x is equal to

If tan x + cot x =2 , then sin^(2n)x + cos^(2n) x is equal to

Evaluate the following definite integral: int_(pi//3)^(pi//4)(t a n x+cot x)^2dx

Evaluate the following integral : int_(pi//6)^(pi//3)(t a n x+cot x)^2dx

If t a n A+cot A=4, then write the value of t a n^4A+cot^4Adot

Show that cot 2x cot x - cot 3x cot 2x -cot x=1

Prove that: cot x cot 2x - cot 2x cot 3x - cot 3x cot x = 1