hawkfalcon
  • hawkfalcon
simplify sinθ*sec^2(90-θ)
Mathematics
schrodinger
  • schrodinger
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hawkfalcon
  • hawkfalcon
Simplify
hawkfalcon
  • hawkfalcon
\[\sinθ*\sec^2(90-θ)\]
dumbcow
  • 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 \[\sec^{2}(90-\theta) = \csc(\theta)\]

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dumbcow
  • dumbcow
sorry that should be csc^2
NoelGreco
  • NoelGreco
sec(90-theta) is the secant of the COmplement of theta or the COsecant theta.
hawkfalcon
  • hawkfalcon
Oh okay:3 that makes sense. Thank you!:D

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