How do you simplify #tan(theta)csc(theta)#?

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Answer 1 · 2018-03-20T14:02:51

#sectheta#

we want to simplify

#tanthetacsctheta#

now #tantheta=(sintheta)/(costheta)#

and

#csctheta=1/(sintheta)#

#:.tanthetacsctheta=(cancel(sintheta))/(costheta)xx1/(cancel(sintheta))#

#1/(costheta)=sectheta#