Question

All formula of trigonometry

Answer 1

Important Trignometric formulas:

1. sin (A+B) = sin A cosB + cosA sin B
2. sin (A-B) = sin Acos B - cosA sin B
3. cos (A+B) = cos A cosB - sinA sin B
4. cos (A-B) = cos AcosB + sinA sin B
5. tan(A+B) =
6. tan(A-B) =
7. cot (A +B) =
8. cot(A-B) =
9. sin 2A = 2sin A cosA
10. cos 2A = (a) cos^2A -sin^2A
(b) 1- 2sin^2A
(c) 2cos^2A -1
(d)
11. tan 2A =
12. sin 3A = 3sinA - 4sin^3A
13. cos 3A = 4cos^3A - 3cosA
14. tan3A =
15. sin(-A) = - sinA
16. cos (-A) = cos A
17. sin^2(A) +cos^2(A) = 1
18. 1+ tan^2A = sec^2(A)
19. 1+ cot^2A = cosec^2(A)
20. 1 + cos 2A = 2cos^2 (A)
21. 1- cos 2A = 2sin^2(A)
22. 1 - sin 2A = (cos A - sin A )^2
23. 1+ sin 2A = ( cos A + sin A)^2
24.
25.
26. sin^2 (A) - sin^2 (B) = sin (A +B) sin (A- B)
27. cos^2 (A) - sin^2 (B) = cos (A+B) cos(A-B
28. 2sinA cosB = sin (A +B) + sin (A -B)
29. 2cosA sinB= cos (A+B) - sin (A-B)
30. 2 cosA cosB = cos (A+B) + cos (A-B)
31. 2sinA sinB = cos (A-B) - cos (A+B)
32.
33.
34.
35.
36. sin ( 90- A) = cos A
37. cos (90 +A) = cos A
38. sin (180 +A) = -sin A
39. sin(270 +A) = - cos A
40. sin (360 +A) = sin A