[" If "],[sin x+cos x+tan x+cot x+sec x+c],[" and "sin2x=a-b sqrt(7)" then "],[" ordered pair "(a,b)=]

If sin x+cos x+tan x+cot x+sec x+csc x=7 and sin2x=a-b sqrt(7), then ordered pair (a,b) is

If sin x + cos x + tan x + cot x + sec x + cosec x = 7, 0 lt x lt pi//2 and sin = 2x=a-b sqrt(7) then (a, b in Z^(+))

If int ( cos x - sin x )/( sqrt(8 - sin 2x ))dx = a sin^(-1) (( sin x + cos x )/(b)) +c , where c is a constant of integration, then the ordered pair (a, b) is equal to :

cosec x(sec x-1)-cot x(1-cos x)=tan x-sin x

(cosec x-sin x)(sec x-cos x)(tan x+cot x)

cosec x(sec x-1)-cot x(1-cos x)=tan x-sin x

The minimum value of |sin x+cos x+tan x+csc x+sec x+cot x| is

(cosec x-sin x)(sec x-cos x)(tan x+cot x)=1

Prove that, cot x cos^(2)x -tan x sin^(2)x = 2 cot 2x

If sin x = a and sec x = b , find the value of cot x .