Cotx cosecx 1 cotx cosecx 1 1 cosx sinx
Asked by admin @ in Math viewed by 402 People
Cot x+ cosec x-1/cot x- cosec x+1 = 1+cos x/sin x.prove this
Answered by admin @
LHS=(cotx+cosecx)-1/(cotx-cosecx+1)
=(cosecx+cotx)-(cosec²x-cot²x)/(cotx-cosecx+1)
=(cosecx+cotx)[1-(cosecx-cotx)]/(cotx-cosecx+1)
=(cosecx+cotx)(cotx-cosecx+1)/(cotx-cosecx+1)
=(cosecx+cotx)
=(1/sinx+cosx/sinx)
=1+cosx/sinx RHS
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