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Sample Problems - JoeMath.Com

Lecture NotesTrigonometric identities 1page 1 Sample ProblemsProve each of the following + cosx= + tanx= sinxcos2x= 1 + sin +1 + sin cos = 2 sec sinx cosx1 + sinx= 2 + cos4xsin2x cos2x= + 1= sinxcosx=cosx1 + 2 cos2x=tan2x 1tan2x+ = csc2 tan2 + tanx=cosx1 sin cot tan = cos4x= 1 2 cos2x15.(sinx cosx)2+ (sinx+ cosx)2= + 4 sinx+ 3cos2x=3 + sinx1 sinx tanx= + 1 + tanxsecx=1 + sinxcos2xc copyright Hidegkuti, Powell, 2009 Last revised: May 8, 2013 Lecture NotesTrigonometric identities 1page 2 Practice ProblemsProve each of the following +cosx1 + sinx= + 1 = sinx 11 + sinx= 2 + cotx= + tan2x1 tan2x=1cos2x sin2x= cosxsinx+sinx1 cosx= 2 1secx+ 1=1 cosx1 + + cot2x= 1csc2x= 1cotx+ 1=1 tanx1 + tanx12.

Lecture Notes Trigonometric Identities 1 page 3 Sample Problems - Solutions 1. tanxsinx+cosx = secx Solution: We will only use the …

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