solve and show work for all

Lecture Notes Trigonometric Identities 1 page 2 Practice Problems Prove each of the following identities. sing - cost newer- 1- sin* 1. tan I + COS I 11, cot r - 1 1 - tan I 1 + sin I COS I cot = + 1 1 + tan I 2. tan'r + 1 = sec- 12. (sin x + cos r) (tan : + cot I) = sec c + CSC I 3. = 2 tan I secr 13. sin' r + cost 1 - sin r 1 + sin r = 1 - sin I cos I sin + COS I Answer - Cost 4. tan r + cot I = sec I CSC I 14. COS I + 1 CSC I 2 co sin* I 1 - COS I 5. 1 + tan' I 1. F 1 - tan' I cos' I - sin' I 15. 1 + sinc 1 - sin I = 4 tan I sec I 1 - sin I 1 + sin I tank = sinx 6. tan'r - sin r = tan' I sin' x CO5X 16. cact r - cott r = csc' r + cot r SIn 7. 1 - COS I sin I - = 2 0SCI sin' I 1 - cos x Answ sin T 1 - COS I 17. Cos' I + 3 Cos I + 2 2+ COS I Sec I - 1 1 - COS I 18. tanr + tan y . Sire 8. = tan I tan y secr + 1 1 + COS I cot r + cot y 9. 1 + cot r = csc' r 19. 1+ tanr COST + sin I 1 - tan I cost - sin r 10. Csch 1 - 1 - = COB' I CSC' I 20. (sin r - tan r) (cos r - cot r) = (sin r - 1) (cosz - 1)