Question

prove that sin a by cot A + Cosec A equal to 2 + sin a / cot a minus cosec a​

Answer 1

Answer:

Sin A/cot A +cosec A = 2+ sin A/cot A-cosec A.

Explanation:

So R.H.S:

⇒sinA/cotA+cosecA*cotA- cosecA/cotA-cosecA ,

⇒sinA(cotA-cosecA)/cot²A-cosec²A ,

⇒sinA* cotA- sinA.cosecA ,

⇒sinA.cosA/sinA-1 ,

⇒cosA-1.

And L.H.S:

⇒2+ sinA(cotA+ cosecA)/cot²A-cosec²A ,

⇒2+ sinA.cotA+ sinA.cosecA ,

⇒2+sinA.cosA/sinA+1 ,

⇒2+cosA-1 ,

⇒cosA-1.

And∴R.H.S=L.H.S.

Hope it helps.