The Total solution for NCERT class 6-12
Let us consider LHS: (cosec x – sin x) (sec x – cos x)(tan x + cot x)
By using the formulas
cosec θ = 1/sin θ;
sec θ = 1/cos θ;
tan θ = sin θ / cos θ;
cot θ = cos θ / sin θ
Now,
1 = RHS
∴ LHS = RHS
Hence proved.