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Determine Which of the Following Are Trigonometric Identities II III

question 9

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


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