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Trigonometry Formulas

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Published in: Mathematics
2,452 Views

This mathematics formulas are very useful for trigonometry

Arman R / Rajkot

3 years of teaching experience

Qualification: M.Sc (The M S University of Baroda - 2017), B.Sc (The M S University of Baroda - 2015)

Teaches: Algebra, Mathematics

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  1. www.mathportal.org Identities Math Formulas: Right-Triangle Definitions 1. 2. 3. 4. 5. 6. Reduction Formulas 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Basic Identities 17. 18. 19. Trigonometry Opposite sin a Hypotenuse Adj acent cos a Hypotenuse Opposite tana Adjacent 1 Hypotenuse csc a sin a 1 sec a cos a 1 cot a tan a sin cos( sin 2 cos 2 cos — sin(T — x) = sin@) cos(T — x) sin(T + x) cos(T + x) — Opposite Hypotenuse Adjacent Adjacent Opposite x) = — sin(x) = cos@) = cos@) sin@) = cos@) = — sin@) — cos@) = — sin(x) — cos@) sin tan cot Sum and Difference Formulas x + cos x = 1 1 cos2 x 1 sin x 1
  2. 20. 21. 22. 23. tan(a + {3) — 24. 1 — tana • tan (3 tana — tan {3 tan(a — {3) 25. 1 + tana • tan (3 Double Angle and Half Angle Formulas 2 + b2 —2 •a • b • cos sin(a + [3) sin(a — [3) COS (a + cos(a — [3) www.mathportal.org = Sina • cos (3 + sin [3 • cos a = Sina • cosß — sin [3 • cos a = cos a • cos 13 — Sina • cos (3 = cos a • cos 13 + Sina • cos (3 tana + tan 13 26. 27. 28. 29. 30. 31. 32. sin(2 a) = 2 • Sina • cos a cos(2 a) = cos a — sin a 2 tan a tan(2 a) sin 2 cos — 2 1 — tan2 a 1 — cos a 2 I + cos a tan 2 1 — cos a sin a 2 sin a 1 — cos a Other Useful Trig Formulas tan 2 sin a sin (3 I + cos 1 — cos a Sin Law of sines 33. Law of cosines 34. Area of triangle 35. b2 2 c 2+c2—2• 2 c • cos a a • c • cos [3 —ab sin 7

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