please note All answer must be hand written

1. Use the Pythagorean and fundamental trigonometric identities to prove (sinx + 1)2 + (cosx + 1)2 =3+ 2sinx + 2cosx 2. Use the Pythagorean and fundamental trigonometric identities to prove (sinx + 1)2 + (cosx -1)2 = 2sinx - 2cosx + 33. Use the Pythagorean and fundamental trigonometric identities to prove (cosx + 1)2 - 2cosx = -(sin2x - 2) 4. Use the Pythagorean and fundamental trigonometric identities to prove 2 3cos2 x - 3+ 5sin'x = CSC2 x5. Use the Pythagorean and fundamental trigonometric identities to prove V1 - sin2x = cosx 6. Use the Pythagorean and fundamental trigonometric identities to prove (1 - cosx)2 + (sinx + 1)2 - 3 = 2sinx - 2cosx7. Use the Pythagorean and fundamental trigonometric identities to prove (sinx + cosx)? = 1 + 2sinxcosx 8. Use the Pythagorean and fundamental trigonometric identities to prove (sinx + cosx)2 + (sinx - cosx)? = 29. Use the Pythagorean and fundamental trigonometric identities to prove (sinx + cosx)2 - (sinx - cosx)? = 4sinxcosx 10. Use the Pythagorean and fundamental trigonometric identities to prove 1 - cos-x = tanx sinxcosx