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Prove the following identities..."not an identity" is an option

1. cot²x-cos²x = cos²xcot²x

2. cotx = cscx/secx

3. tanx = sq.rt. sec²x-1

4. sinx/1-cotx + cosx/ 1-tanx = cosx + sin

5. cotx-1/1-tanx = cscx/secx

6. cosxsiny = 1/2 (sin(x+y) - sin (x-y))

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