trig problem

[valleymom96]

Simplify csc B/ sin B - cot B/ tan B.

I know csc = 1/sin & sin= 1/csc. cot=cos/sin & tan=sin/cos.
So (1/sin)/(1/csc)- (cos/sin)/(sin/cos). Is this right, and if so...what is the next step?

 

[tkhunny]

You spent quite a bit of time changing everything to sine and cosine. Why did you change the sine to cosecant? Put that back.

Dividing fractions usually required "reciprocal and multiply". Give that a go and see where it leads.