anonymous
  • anonymous
I doubt anyone knows, but I need to know step by step how to solve the trig equation: Secant [Sine-1 radical2/5] ....please help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
the secant of sine inverse (sqrt(2)/5) is the question right? \(sec(sin(sqrt{2}/5)\)
amistre64
  • amistre64
well: \(sin^{-1}(\sqrt{2}/5)\)
amistre64
  • amistre64
you should be aware that the sin^-1 takes a number and gives back an angle between 0 and pi

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amistre64
  • amistre64
but easiest thing to do is make a triangle and draw a pic
amistre64
  • amistre64
amistre64
  • amistre64
the answer is 5 according to the drawing
anonymous
  • anonymous
my book says 5 radical 23 over 23.... i solve for my triangle taking sine(x)= radical 2 over 5 and find the third side. But from here, i dont know how to find secant
amistre64
  • amistre64
secant = hyp/adj ; its just the inverse of cosine
amistre64
  • amistre64
it is this right? \[sec(sin^{-1}(\frac{\sqrt{2}}{5})\]
amistre64
  • amistre64
i did sqrt(2)^2 = 4 lol ....
anonymous
  • anonymous
yes, i just dont understand how the answer is 5 radical 23 over 23
amistre64
  • amistre64
sqrt(25 - 2) = sqrt(23) for the bottom part then right?
anonymous
  • anonymous
yeah i dont understand how to get to that part. i just got my triangle and then i dont know where to go from there using secant
amistre64
  • amistre64
if you know 2 sides of a right triangle you can find the thirs by the pythagoreum thrm
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amistre64
  • amistre64
(sqrt(2))^2 + base^2 = (5)^2 2 + base^2 = 25 base^2 = 25-2 base^2 = 23 base = sqrt(23)
amistre64
  • amistre64
secant(A) = hyp/base sec = 5/sqrt(23)
anonymous
  • anonymous
what is base?
anonymous
  • anonymous
okay i got it, thanks!
amistre64
  • amistre64
:) youre welcome :)
anonymous
  • anonymous
I've posted another tricky one if you can solve it for me, that'd be greatly appreciated!

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