show that cosx/1-tanx+sinx2/sinx-cosx=sinx+cosx
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Answer:
Step-by-step explanation:
L.H.S:
cosx/1-tanx+sin²x/sinx-cosx
= cosx/1 - sinx/cosx + sin²x/sinx-cosx
= cosx * cosx/cosx - sinx - sin²x/cosx - sinx
= cos²x - sin²x / cosx - sinx
= (cosx + sinx)(cosx - sinx)/cosx - sinx
= cosx + sinx
= R.H.S
Hence proved.
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