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Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
Microsoft Word - trigonometric_identities_with_solutions.doc Author: TrifonMadas Created Date: 6/3/2015 4:57:53 PM ...
Basic Identities 17. sin2 x+cos2 x= 1 18. tan2 x+1 = 1 cos2 x 19. cot2 x+1 = 1 sin2 x Sum and Di erence Formulas 1. www.mathportal.org ... 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 +b2 2 a b cos Area of triangle 35. A= 1 2 absin 2.
• know how to differentiate all the trigonometric functions, • know expressions for sin2θ, cos2θ, tan2θ and use them in simplifying trigonometric functions, • know how to reduce expressions involving powers and products of trigonometric func-tions to simple forms which can be integrated.
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.
TRIGONOMETRIC IDENTITIES AND EQUATIONS. 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.
Right triangle definition Unit Circle Definition. For this definition we assume that For this definition is any angle. 0 < < or 0 < < 90 . 2. opposite. hypotenuse sin( ) =. hypotenuse adjacent. csc( ) = opposite hypotenuse cos( ) = hypotenuse. sec( ) = adjacent opposite tan( ) = adjacent.
