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reciprocal circular functions/identities qus

(1/1)

beezy4eva:
simplify the folowing expressions:
1.(sec θ -cos θ)(cosec θ -sin θ)

2.(1-cosēθ)(1+cotēθ)

3.secēθ-cosecēθ
    tanēθ-cotēθ

help is appreciated :) thanks

Glockmeister:
First One

This took longer than expected
Note, I'm letting the , cause I can't be bother typing it out




Using , we can substitute the on the numerator of the first fraction for









Second one






Third One

This one was an interesting one. My initial thought was to use the definition of the reciprocals, but that got me nowhere.

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