hawkfalcon 2 years ago simplify sinθ*sec^2(90-θ)

1. hawkfalcon

Simplify

2. hawkfalcon

$\sinθ*\sec^2(90-θ)$

3. dumbcow

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

4. dumbcow

sorry that should be csc^2

5. NoelGreco

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

6. hawkfalcon

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