Question

which of the following is equivalent to the expression : (cotθ-1)/(1-tanθ)

a. cotθ
b. cscθ
c. secθ
d. 1
e. tanθ

Answer 1

Re-write cot theta as cos/sin and tan as sin/cos to start. Then take the ones and get a common denominator.

Answer 2

\[\frac{ \cot \theta - 1 }{ 1 - \tan \theta } = \frac{ \frac{ \cancel{\cos \theta - \sin \theta} }{ \sin \theta } }{ \frac{ \cancel{\cos \theta - \sin \theta} }{ \cos \theta } } =\frac{ \cos \theta }{ \sin \theta }\]

Answer 3

All good now, @lamp12345 ?

Answer 4

i think, thanks

Answer 5

Ask any question you want if you're not sure.

Answer 6

I got cotθ. is that right?

Answer 7

Yes that is right, but you should know your identities a bit better.

Answer 8

When you see tan, you should automatically see sin/cos in your head. Similarly with cot = cos/sin. If you don't, you'll have to study those more or you'll never be able to do this type of problem.

Answer 9

alright thanks!

Answer 10

np! Have a great day! Nice working with you! @lamp12345