Question

Use basic identities to simplify the expression.

cosecant of theta times cotangent of theta divided by secant of theta.

Answer 1

write everything in terms of sine and cosine and see what cancels

Answer 2

\( \huge \frac{\csc \theta \times \cot \theta}{\sec \theta} \) This is what we are working with correct?

Answer 3

These things can get tricky but they are fun, when you are not being timed to do them lol

Answer 4

Haha yeah and that is what the question is :)

Answer 5

@Nixy cot=cos/sin
not sin/cos

Answer 6

opps yep thanks for the catch

Answer 7

\( \huge \frac{\frac{1}{\sin \theta} \times \frac{cos}{sin}}{\sec \theta} \) now work the top

Answer 8

Uhhh this is bad, I don't know how to....sorry I am taking this online and my teacher isn't that helpful :(

Answer 9

\[\mathrm{Simplify}\:\frac{\frac{1}{\sin \left(θ\right)}\cdot \frac{\sin \left(θ\right)}{\cos \left(θ\right)}}{\sec \left(θ\right)}:\quad 1\]

Answer 10

wait isn't it cos over sin?

Answer 11

Yes, he made a boo boo too :-D

Answer 12

yes

Answer 13

sec is 1/cos theta correct? so would I put that in?

Answer 14

yes

Answer 15

and then cancel out the cos?

Answer 16

@peachpi chime in any time to help :-) @peachpi is good at these. She/He has helped me on some before.

Answer 17

Oh okay thanks :)

Answer 18

you guys look like you have it under control

Answer 19

write the denominator as 1/cos Θ.
then flip it to the reciprocal when you change division to multiplication