Question

How do you simplify the expression `costcsct(sec^2t-1)`?

Answer 1

`costcsct(sec^2t-1)=tant`

Explanation:

`costcsct(sec^2t-1)`

= `costxx1/sintxxtan^2t`

= `costxx1/sintxxsin^2t/cos^2t`

= `cancelcostxx1/cancelsintxx(cancelsintxxsint)/(cancelcostxxcost)`

= `sint/cost=tant`