annalin
annalin annalin
  • 22-06-2017
  • Mathematics
contestada

connections between tan theta and tan(90 + theta)

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TheHero
TheHero TheHero
  • 22-06-2017
tan(90+ theta)  = (tan90 + tantheta)/(1-tan90tantheta) 

= ( sin90costheta + sintheta cos 90) / (cos90costheta - sin90sintheta))
= sin(90 + theta)/ cos(90+  theta)  = costheta/-sintheta = - 1/tantheta


tan(90 + theta ) =  -1/tantheta

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