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

  2. 8 Μαΐ 2013 · Lecture Notes Trigonometric Identities 1 page 2 Practice Problems Prove each of the following identities. 1. tanx+ cosx 1+sinx = 1 cosx 2. tan2 x+1 = sec2 x 3. 1 1 sinx 1 1+sinx = 2tanxsecx 4. tanx+cotx = secxcscx 5. 1+tan2 x 1 2tan2 x = 1 cos xsin2 6. tan 2x sin2 x = tan2 xsin x 7. 1 cosx sinx + sinx 1 cosx = 2cscx 8. secx 1 secx+1 = 1 cosx 1 ...

  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

  4. • 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.

  5. Trigonometric Identities Worksheet. I. Prove each identity. 1) tanxcos x =sinx. x . ' tan x. 5) Slnx=- secx. II. Prove each identity. 1) esc x(l + sin x) == 1+ esc x. 3) coscx(secx-1)=1-cosx. 1- tan x. 5) =-tanx . 1- cotx . III. Prove each identity. 2 . sin x + 1. 1) sm x tan x + sec x ==--- cosx . ) 1+ si. 1- x esc x-I. l+sinx . .

  6. Trigonometric Equations. 1. Find all values of x for which 2 cos x 3 . 2. Solve 2 sin 3 0 , if 0 x 360 . 2 3. Solve 2 cos t 9co s t 5 , if 0 t 2 . 4. Solve 2 sin 2 2s in 1 0 , if 0 2 .

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

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