[" 3) "n pi-5 pi/6],[114." If "csc x=1+cot x," then "x]

If cos ecx=1+cot x then x=2n pi,2n pi+(pi)/(2)

int_(pi//6)^(pi//2) (" cosec x cot x")/(1+" cosec "^(2) x)dx

int_(pi//6)^(pi//2) (" cosec x cot x")/(1+" cosec "^(2) x)dx

int_(pi//6)^(pi//2) ("cosec "x cot x)/(1+ "cosec"^(2)x)

If cosx=-3/(5)andpiltxlt(3pi)/(2), then ("cosec"x+"cot"x)/("sec"x-"tan"x) is equal to

lim_ (x rarr (pi) / (6)) (2-csc x) / (cot ^ (2) x-3)

If f (x) = min_ (n pi) {tan x, cot x} that f (x) = 1 when x = (i) (n pi)/(2)+(pi)/(4) (ii) (n pi)+(pi)/(6) (iii) (n pi)+(pi)/(4) (iv) (2n pi)+(pi)/(4)

int_(pi//6)^(pi//4)cosec 2x dx=

int_(pi//6)^(pi//4)cosec 2x dx=