Question

Simplify the expression: tan(-x)csc(x).

Answer 1

use the identities :
tan(-x) = - tan(x)
tan(x) = sin(x)/cos(x)
csc(x) = 1/sin(x)

now, use them to simplify ur equation

Answer 2

what do I do with the second identity, tan(x)=sin(x)/cos(x)?

Answer 3

Is it -cos x

Answer 4

no.
look this
u have tan(-x)csc(x)
= -tan(x) csc(x)
= - sin(x)/cos(x) 1/sin(x)
cancel out for sin(x) between the numerator and the denominator
so, now u have
= - 1/cos(x)

Answer 5

that can be simplied again,
use the identity 1/cos(x) = sec(x)

Answer 6

finally, it is -sec(x)

Answer 7

thank you very much, RadEn!

Answer 8

you're welocme ;)

Answer 9

i'm a fan now.

Answer 10

u too, my fan :)

Answer 11

:)