If the tangent is undefined, what does that say about the angle ? And if you have a restriction on where can be, that should uniquely define the problem.
If tanΘ is undefined and 9pi ≤Θ ≤ 10.265pi ,find sinΘ
i have tried to solve this and came up with the answer of sinΘ = -1 but this is an incorrect answer according to the answers section in the back of my text book...
i honestly can't see were i've made a mistake
please and thank you for your help!
i know i still can't find where i made a mistake!
this is how i approached the problem:
tan Θ = sin Θ / cos Θ
and tan Θ can only be undefined if cos Θ = 0
well, cos Θ = 0 if Θ = 1/2pi + 2npi or 3/2pi + 2npi
then i found where 9 pi < θ < 10.265 pi which was at θ= 19pi/2
and i used my calculator to solve sin (19pi/2) to get and answer of -1
this is the complete problem...
and thank you to all who helped me!
a special thanks to eumyang because i never made the connection that tan θ is undefined at odd multiple of pi/2