show that
(cosec x - sin x) (sec x - cos x) (tan x+ cot x) = 1
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Step-by-step explanation:
L.H.S= (1/sinx - sinx) ( 1/cosx -cosx) (1/cotx- cotx)
= (cos^2 x /sinx) (sin^2 x/ cosx) (cosec^2 x /cotx)
= (cosx) (sinx) (1/sin^2 x) (tanx)
= (cosx) (1/sinx) (tanx)
=1 = R.H.S
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