Prove that : (cos(2π + x) cosec (2π + x) tan (π/2 + x))/(sec(π/2 + x) cos x cot (π + x)) = 1

Question

Prove that : 

\(\cfrac{cos(2\pi+\text x)+cosec(2\pi+\text x)tan(\pi/2+\text x)}{sec(\pi/2+\text x)cos\,\text x\,cot(\pi+\text x)}\) = 1

Answer 1

LHS = \(\cfrac{cos(2\pi+\text x)+cosec(2\pi+\text x)tan(\pi/2+\text x)}{sec(\pi/2+\text x)cos\,\text x\,cot(\pi+\text x)}\)

= 1

= RHS

Hence proved.