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Microsoft Word - trigonometric_identities_with_solutions.doc Author: TrifonMadas Created Date: 6/3/2015 4:57:53 PM ...
Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
• 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.
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.
Trig Prove each identity; 1 . 1 . secx - tanx SInX - - secx 3. sec8sin8 tan8+ cot8 sin' 8 5 . cos ' Y -sin ., y = 12" - Sin Y 7. sec2 e --sec2 e-1 csc2 e Identities worksheet 3.4 name: 2. 1 + cos x = esc x + cot x sinx 4. sec8 tan8 1 -----= cos8 cot8 6. csc2 e tan2 e -1 = tan2 e 8. tan2 x sin' x = tan' x - sin' x . Tria Prove each identity: ...
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.
10 miles. Use suitable trigonometric functions to express: (a) c in terms of b and t [Hint: Place the gure on a coordinate plane with P and Q on the x-axis, with Q at the origin. Then what are the coordinates of R?] (b) b in terms of t (c) a in terms of t [Hint: a = 40 c; use parts (a) and (b).] (d) Use parts (b) and (c) and a suitable identity ...
