Connections between tan theta and tan (90 + theta)

Question

Mathematics

Jaylen Shaw

29 October, 00:35

Connections between tan theta and tan (90 + theta)

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Miles Villa · Answer 1

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