Asked by DEMA
pROVE THAT (cotx - tan x)cosx=cosec1x-2sinx
Answers
Answered by
Reiny
LS = (cosx/sinx- sinx/cosx)(cosx)
= (cos^2 x - sin^2 x)/(sinxcosx) (cosx)
= (cos^2 x - sin^2 x)/sinx
RS = 1/sinx - 2sinx
= (1 - 2sin^2 x)/sinx
= (sin^2 x + cos^2 x - 2sin^2 x)/sinx
= (cos^2x - sin^2 x)/sinx
= LS
= (cos^2 x - sin^2 x)/(sinxcosx) (cosx)
= (cos^2 x - sin^2 x)/sinx
RS = 1/sinx - 2sinx
= (1 - 2sin^2 x)/sinx
= (sin^2 x + cos^2 x - 2sin^2 x)/sinx
= (cos^2x - sin^2 x)/sinx
= LS
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