If the point P on the unit circle that corresponds to a real number t is: #[5/7, - 2sqrt(6)/7]#, how do you find csc(t)?

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Answer 1 · 2015-05-13T13:34:49

If #t# correspond to the point #P (x,y)# on the unit circle, then

#csct=1/y#

In this question, #y= (2sqrt6)/7#

So,
#csct = 1/((2sqrt6)/7)#

#=1*7/(2sqrt6)#

#= 7/(2sqrt6 ) sqrt6/sqrt6#

#= (7sqrt6)/6#