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

  2. 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: ...

  3. • 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.

  4. 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.

  5. The trigonometric identities can be called mathematical functions formed of the one or more angles. These worksheets will benefit the students in gaining a proper understanding of the law of sines and cosines, the tangents, the trigonometric functions etc.

  6. 4) =. 1 + tan x cos x + sin x. 5) cot2. 1. x(1 + cot2 x) = tan2 xsin2 x. ©u X2D0n1d9D bKRurtqaM USooufvt^wtavrLez iLyLECy.l j CA_lJlQ KroiIgJhvtssQ xryeTsMeSrIvBegdC.l -1- S AMLaud[ec zwaiRtRhY EIcntfgi]nEiFtNeY PPGrLexcYavlScnu\l\uGsM. sec x tan2 x - sec2 x.

  7. Trigonometric Identities Worksheet . I. Prove each identity . 1) tanxcos x = sinx . 2) cotxsec x = esc . x 3) sin . x . cot . x == cos . x 4) tan . xcsc x . sec . x 5) Slnx=-­ 6) --==cosx secx cscx ' tan . x cotx. II. Prove each identity . 1) esc . x(l + sin . x) == 1+ esc . x 2) sinx(l+cscx)=l+sinx 3) coscx(secx-1)=1-cosx . 4) sinxsecxcotx ...