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Class 12 Exam 2017 : English Paper 1 (English Language)

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www.mathportal.org Math Formulas: Trigonometry Identities Right-Triangle Definitions 1. sin = Opposite Hypotenuse 2. cos = Adjacent Hypotenuse 3. tan = Opposite Adjacent 4. csc = 1 Hypotenuse = sin Opposite 5. sec = 1 Hypotenuse = cos Adjacent 6. cot = 1 Adjacent = tan Opposite Reduction Formulas 7. sin( x) = sin(x) 8. cos( x) = cos(x) 9. 10. 11. 12. x 2 cos x 2 sin +x 2 cos +x 2 sin = cos(x) = sin(x) = cos(x) = sin(x) 13. sin( x) = sin(x) 14. cos( x) = cos(x) 15. sin( + x) = sin(x) 16. cos( + x) = cos(x) Basic Identities 17. sin2 x + cos2 x = 1 18. tan2 x + 1 = 1 cos2 x 19. cot2 x + 1 = 1 sin2 x Sum and Difference Formulas 1 www.mathportal.org 20. sin( + ) = sin cos + sin cos 21. sin( ) = sin cos sin cos 22. cos( + ) = cos cos sin cos 23. cos( ) = cos cos + sin cos 24. tan( + ) = tan + tan 1 tan tan 25. tan( ) = tan tan 1 + tan tan Double Angle and Half Angle Formulas 26. sin(2 ) = 2 sin cos 27. cos(2 ) = cos2 sin2 28. tan(2 ) = 2 tan 1 tan2 29. sin = 2 1 cos 2 30. cos = 2 1 + cos 2 31. tan 32. 1 cos sin = = 2 sin 1 cos tan = 2 1 + cos 1 cos Other Useful Trig Formulas Law of sines 33. sin sin sin = = Law of cosines a2 = b2 + c2 2 b c cos 34. b2 = a2 + c2 2 a c cos c2 = a2 + b2 2 a b cos Area of triangle 35. A= 1 a b sin 2 2

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