Question

simplify sinθ*sec^2(90-θ)

Answer 1

Simplify

Answer 2

\[\sinθ*\sec^2(90-θ)\]

Answer 3

using the sum/difference angle identities you can see that
\[\cos(90-\theta) = \cos(90)\cos(\theta) + \sin(90)\sin(\theta) = \sin(\theta)\]
thus
\[\sec^{2}(90-\theta) = \csc(\theta)\]

Answer 4

sorry that should be csc^2

Answer 5

sec(90-theta) is the secant of the COmplement of theta or the COsecant theta.

Answer 6

Oh okay:3 that makes sense. Thank you!:D