anonymous
  • anonymous
If f(θ) = sin θ = 0.1, find f(θ+π)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
use sum formula... sin(a+b) = (sin a)(cos b) + (sin b)(cos a)
anonymous
  • anonymous
There should be a simpler way. When I use the arc sin function on the calculator ( sin^-1 (.1) I get .1. The answer is -.1. Can you explain to me this?
Mertsj
  • Mertsj
Trig identity: sin(x+180)=-sinx

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Mertsj
  • Mertsj
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Mertsj
  • Mertsj
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anonymous
  • anonymous
Ok, what about this? If f(θ) = tan θ = 3, find f(θ+π) answer is 3 not -3. I'm confused.
anonymous
  • anonymous
cos pi = -1 sin pi = 0 so you get the same thing
anonymous
  • anonymous
period of tan is pi.
Mertsj
  • Mertsj
\[\tan (\theta+\pi)=\tan \theta \]
Mertsj
  • Mertsj
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anonymous
  • anonymous
can you explain the difference between .1 and 3? Why is Tangent 3?
Mertsj
  • Mertsj
You would have to ask the author of your problems. Who knows why he/she chose to use .1 as an example of sin and 3 as an example of tangent.
Mertsj
  • Mertsj
I really am trying to help.
Mertsj
  • Mertsj
You asked why the tangent is 3. The answer is that the author chose that value arbitrarily as an example of the tangent.
anonymous
  • anonymous
why is the tangent a positive and sin is negative.
Mertsj
  • Mertsj
he could have equally well have said if the tangent x = 4 what is tan(x+180)
anonymous
  • anonymous
can you show me the steps to solve both problems?
Mertsj
  • Mertsj
It all hinges on your knowing the signs of the functions in the various quadrants
Mertsj
  • Mertsj
sin(180+x)=-sinx cos(180+x)=-cosx tan(180+x)= tan x

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