Prove that: cosecA - cotA = sinA/1+cosA
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Answered by
5
well.. its very easy.. i advice u to try it out first... look for trig identities which will get u the answer... try it out,, u will get it
Answered by
9
L.H.S
cosecA-cotA
=1/sinA-cosA/sinA
=(1-cosA)/sinA
=2sin²A/2/(2sinA/2cosA/2)
=sinA/2/cosA/2
=tanA/2
R.H.S
sinA/1+cosA
=(2sinA/2cosA/2)/2cos²A/2
=sinA/2/cosA/2
=tanA/2
∴, L.H.S=R.H.S
cosecA-cotA
=1/sinA-cosA/sinA
=(1-cosA)/sinA
=2sin²A/2/(2sinA/2cosA/2)
=sinA/2/cosA/2
=tanA/2
R.H.S
sinA/1+cosA
=(2sinA/2cosA/2)/2cos²A/2
=sinA/2/cosA/2
=tanA/2
∴, L.H.S=R.H.S
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