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Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
Double Angle and Half Angle Formulas 26. sin(2 ) = 2 sin cos 27. cos(2 ) = cos2 sin2 28. tan(2 ) = 2 tan 1 2tan 29. sin 2 = r 1 cos 2 30. cos 2 = r 1+cos 2 31. tan 2 = 1 cos sin = sin 1 cos 32. tan 2 = r 1+cos 1 cos Other Useful Trig Formulas Law of sines 33. sin = sin = sin Law of cosines 34. a2 = b2 +c2 2 b c cos b2 = a2 +c2 2 a c cos c2 = a2 ...
Gr 11 & 12 Trig Notes Page 9 of 10 PROVING IDENTITIES To prove an identity you need to transform one side to the exact form of the other side or transform both sides to the same expression. Hints: 1. If in doubt change everything to sin and cos . 2. Start with the more "complicated" side and try and write it like the other side. 3.
CHAPTER OBJECTIVES. Use reciprocal, quotient, Pythagorean, symmetry, and opposite-angle identities. (Lesson 7-1) Verify trigonometric identities. (Lessons 7-2, 7-3, 7-4) Use sum, difference, double-angle, and half-angle identities. (Lessons 7-3, 7-4) Solve trigonometric equations and inequalities.
This article uses Greek letters such as alpha (α), beta (β), gamma (γ), and theta (θ) to represent angles. Several different units of angle measure are widely used, including degrees, radians, and grads: 1 full circle = 360 degrees = 2 radians = 400 grads.
Fundamental trig identity. cos(. (cos x)2 + (sin x)2 = 1. 1 + (tan x)2 = (sec x)2 (cot x)2 + 1 = (cosec x)2.
1 Introduction. 1.1 How to use this book. You will not gain much by just reading this booklet. Have pencil and paper ready to work through the examples before reading their solutions. Do all the exercises. It is important that you try hard to complete the exercises on your own, rather than refer to the solutions as soon as you are stuck.
