Question

what is (1 over cos theta sin theta)cos theta in terms of sin theta?

Answer 1

Is this how it looks?
\[\frac{ 1 }{ \cos \Theta \sin \Theta }\sin \Theta\]

Answer 2

yes :D

Answer 3

okay perfect! think about what can you cancel now?

Answer 4

ahh my bad wait a sec

Answer 5

\[\frac{ 1 }{ \cos \Theta \sin \Theta } \cos \Theta \]

Answer 6

okay now think what you can cancel?

Answer 7

the cos theta?

Answer 8

yup!
so what do you get?

Answer 9

(1/sin theta)cos theta

Answer 10

is that really it? thats all...?

Answer 11

once you cancel the cos theta, there's no cos theta left

Answer 12

you're only left with sin theta

Answer 13

right?

Answer 14

yeah, X) thanks so much!

Answer 15

:)

Answer 16

Just a friendly reminder. The sin theta is in the denominator of the fraction, so 1 over sine theta is equivalent to cosecant theta, or \[\frac{ 1 }{\sin \Theta }=\csc \Theta \]

Answer 17

right the ques however only asked in terms of sin

Answer 18

oops, well, as long as he/she left it in the denominator. Many students tend to write the answer without the 1 on top.