Here's the question you clicked on:
hawkfalcon
simplify sinθ*sec^2(90-θ)
\[\sinθ*\sec^2(90-θ)\]
using the sum/difference angle identities you can see that \[\cos(90-\theta) = \cos(90)\cos(\theta) + \sin(90)\sin(\theta) = \sin(\theta)\] thus \[\sec^{2}(90-\theta) = \csc(\theta)\]
sorry that should be csc^2
sec(90-theta) is the secant of the COmplement of theta or the COsecant theta.
Oh okay:3 that makes sense. Thank you!:D