Mathematics rules of H.S.C(trigonomettry)

So you want to learn about mathemetics rules of H.S.C

Rules of Trigonomettry:

1. sin(-A)=-sinA 2. cos(-A)=cosA
3. tan(-A)=-tanA 4. cosec(-A)=-cosecA
5. sec(-A)=secA 6. cot(-A)=cotA
7. sin(A+B)=sinAcosB+cosAsinB 8. cos(A+B)=cosAcosB-sinAsinB
9. sin(A-B)=sinAcosB-cosAsinB 10. cos(A-B)=cosAcosB+sinAsinB
11. tan(A+B)=(tanA+tanB)/(1-tanAtanB) 12. tan(A-B)=(tanA-tanB)/(1+tanAtanB)
13. cot(A+B)=(cotAcotB-1)/(cotA+cotB) 14. cot(A-B)=(cotAcotB+1)/(cotA-cotB)
15. sinA+sinB=2sin(A+B/2)cos(A-B/2) 16. sinA-sinB=2cos(A+B/2)sin(A-B/2)
17. cosA+cosB=2cos(A+B/2)cos(A-B/2) 18. cosA-cosB=2sin(A+B/2)sin(B-A/2)
19. sin2A=2sinAcosA 20. cos2A=cos2A-sin2A
21. sin2A=2sinAcosA 22. cos2A=cos2A-sin2A
23. cos2A=1-2sin2A 24. cos2A=2cos2A-1
25. tan2A=2tanA/(1-tan2A) 26. cot2A=(cot2A-1)/2cotA
27. 1-cos2A=2sin2A 28. 1+cos2A=2cos2A
29. sin2A=2tanA/(1+tan2A) 30. cos2A=(1-tan2A)/(1+tan2A)
31. sin3A=3sinA-4sin3 32. cos3A=4cos3A-3cosA
33. tan3A=(3tanA-tan3A)/(1-3tan2) 34. H.S.C
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