miriInRni2a2jes miriInRni2a2jes
  • 21-11-2016
  • Mathematics
contestada

Find sin (45+theta) - cos(45-theta) ...?

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HomertheGenius
HomertheGenius HomertheGenius
  • 22-11-2016
sin ( 45° + t ) - cos ( 45° - t ) = 
= sin 45° cos t + cos 45° sin t - ( cos 45° cos t + sin 45° sin t ) =
= sin 45° cos t + cos 45° sin t - cos 45° cos t - sin 45° sin t =
( sin 45° = √2/2,  cos 45° = √2/2 ) =
= √2/2 cos t + √2/2 sin t - √2/ 2 cos t - √2/2 sin t = 0
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