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Determine Which of the Following Are Trigonometric Identities sin(t)+sin(s)cos(t)cos(s)+cos(t)+cos(s)sin(t)sin(s)=0\frac { \sin ( t ) + \sin ( s ) } { \cos ( t ) - \cos ( s ) } + \frac { \cos ( t ) + \cos ( s ) } { \sin ( t ) - \sin ( s ) } = 0

question 51

Multiple Choice

Determine which of the following are trigonometric identities.
I. sin(t) +sin(s) cos(t) cos(s) +cos(t) +cos(s) sin(t) sin(s) =0\frac { \sin ( t ) + \sin ( s ) } { \cos ( t ) - \cos ( s ) } + \frac { \cos ( t ) + \cos ( s ) } { \sin ( t ) - \sin ( s ) } = 0
II. sin(t) +sin(s) cos(t) +cos(s) +cos(t) +cos(s) sin(t) +sin(s) =1\frac { \sin ( \mathrm { t } ) + \sin ( \mathrm { s } ) } { \cos ( \mathrm { t } ) + \cos ( \mathrm { s } ) } + \frac { \cos ( \mathrm { t } ) + \cos ( \mathrm { s } ) } { \sin ( \mathrm { t } ) + \sin ( \mathrm { s } ) } = 1
III. sin(t) +cos(s) sin(t) cos(s) =sin(s) +cos(t) \frac { \sin ( \mathrm { t } ) + \cos ( \mathrm { s } ) } { \sin ( \mathrm { t } ) \cos ( \mathrm { s } ) } = \sin ( \mathrm { s } ) + \cos ( \mathrm { t } )


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