anonymous
  • anonymous
Use the graph of y = sin(theta) to find the value of sin(theta) for each value of theta. http://puu.sh/3cFnq.png
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
My options are -0.7 0.7 -0.9 0.9
Luigi0210
  • Luigi0210
The question is asking what sin theta equals at pi/4 right?
anonymous
  • anonymous
I guess so.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Luigi0210
  • Luigi0210
well look at the graph |dw:1370886024255:dw| Sin at pi/4 is positive so that automatically eliminates the negative choices
anonymous
  • anonymous
okay, but how do you tell if it's 0.7 or 0.9?
anonymous
  • anonymous
it's 0.9, right?
Luigi0210
  • Luigi0210
well if you look at your original graph, you can see that pi/4 is almost between .5 and 1 If it was .9, it would almost be straight
anonymous
  • anonymous
okay, so it's 0.7?
Luigi0210
  • Luigi0210
Yup
anonymous
  • anonymous
okay awesome. i have one more question if you could help me with that too
Luigi0210
  • Luigi0210
shoot
anonymous
  • anonymous
what is the graph of one cycle of a sine curve with the given characteristics? Using the form y = a sin b theta, what is an equation for the sine curve? aplitude = 4, period = 1/2pi, and a < 0
anonymous
  • anonymous
option a: http://puu.sh/3cG8V.png option b: http://puu.sh/3cGaR.png option c: http://puu.sh/3cGbx.png option d: http://puu.sh/3cGcw.png
Luigi0210
  • Luigi0210
The equation for sin: y = a sin (bx+c) Let's plug stuff in and see what happens
anonymous
  • anonymous
amplitude is 4, so it'll be y = 4 sin (bx + c), i know that much
Luigi0210
  • Luigi0210
and a<0 so a is negative
Luigi0210
  • Luigi0210
Now, do you know how to find the period?
anonymous
  • anonymous
that's always confused me so no i dont :(
Luigi0210
  • Luigi0210
They gave us the period in this equation, and we know that the period of a sin graph is 2pi/b right?
anonymous
  • anonymous
okay
Luigi0210
  • Luigi0210
so set them equal and solve for b: \[\frac{ 2\Pi }{ b }=\frac{ \Pi }{ 2 }\]
anonymous
  • anonymous
pi/b = pi/1?
Luigi0210
  • Luigi0210
|dw:1370887355782:dw|
Luigi0210
  • Luigi0210
1. cross multiply 2. set them equal to one another 3. divide by pi 4. simplify
anonymous
  • anonymous
okay, so now we have y = 4 sin (4x + c)
Luigi0210
  • Luigi0210
don't forget your negative. And yes, we are not given any phase shifts so that'll be 0 for c, leaving us: y=-4sin4x, any of the choices look like that equation?
anonymous
  • anonymous
only option B
Luigi0210
  • Luigi0210
Then it has to b option B, unless I totally lost my trig skills over night..
anonymous
  • anonymous
hahaha. thank you very much!
Luigi0210
  • Luigi0210
Any time ^_^'

Looking for something else?

Not the answer you are looking for? Search for more explanations.