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  1. Microsoft Word - trigonometric_identities_with_solutions.doc Author: TrifonMadas Created Date: 6/3/2015 4:57:53 PM ...

  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.

  3. 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: ...

  4. Answers to Verifying Identities. sin x + csc x. 1) csc x. Decompose into sine and cosine. 1. +. sin x sin x. Simplify. 1.

  5. Trigonometric Equations 1. Find all values of x for which 2cos 3x 0, if 0qqd x 360. 2. Solve 2sin 3T 0, if . 3. Solve 2cos 9co2 tt s5, if 0d t 2S. 4. Solve 2sin 2s 1 02 TT in, if 0q d TS. 5. Solve cos2 3sin 2 0,TT if 0qqddT 360.

  6. Trigonometric Identities Sheet I. Verify each of the following: 1. sec S - sec Ssin . l . S = cos S 2. sinSsecScotS = 1 . 4. sin. l . Ssec . l . S - sec . l . S =-1 5. (sinx+cosx/ +(sinx-cosx/ = 2 . cos x . 7. tanx+ = secx 1+sinx . 8. sinxsecx=tanx 9. (1 -sin. l t)(1 +tan l t) = 1 10. (1-cos A)(1+sec A)cot A = sin A 11. csc l 8(1-cos l 8) = 1 ...

  7. Use identities to find the value of each expression. 1) If sin , find cos ( 2) If tan ( ) , find cot (

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