anonymous
  • anonymous
Degrees or Radians for this? What should the answer roughly look like?
Mathematics
  • Stacey Warren - Expert brainly.com
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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.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I know how to get the hypotenuse. How do I answer the rest?
anonymous
  • anonymous
and do I use degrees or radians for my calculations?
anonymous
  • anonymous
In order to computer the hypotenuse you do not need radians or degrees. To find the hypotenuse or more appropriately the length of the hypotenuse use Pythagorean theorem. Which is length of hypotenuse = sqrt( a^2 + b^2).

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More answers

anonymous
  • anonymous
thanks but i said i already know that, i'm asking about the functions
anonymous
  • anonymous
Ok. Lets take a look. I believe they want cos, sin, tan, sec, csc and cot of angle theta is that right?
anonymous
  • anonymous
yep
anonymous
  • anonymous
Ok. First we need to compute the length of the hypotenuse. For #1 that would be sqrt(144 + 81) = 15. Is that what you get?
anonymous
  • anonymous
yeah i got 15
anonymous
  • anonymous
Ok. The cos of theta is the length of the side opposite the angle theta divided by the length the hypotenuse. or cos(theta) = 9/15 = 3/5 = 0.6. For sin(theta) = length of adjacent side from theta/ hypotenuse = 12/15 = 4/5 = 0.8.
anonymous
  • anonymous
the thing about these problems that are confusing (and math teachers never mention is) is that you are asked to evaluate a function at a number, but you do not know what that number is. in fact it is not important because you are really being asked for ratios of sides of a triangle
anonymous
  • anonymous
Tan(theta) = sin/cos = 0.8/0.6 = 4/3.
anonymous
  • anonymous
commdoc has your answers, and in truth it doesn't matter how you measure the angle because if you measure it in radians then you would take your sine and cosine etc as functions of radians, and if you measured in degrees you would take them in degrees
anonymous
  • anonymous
okay i understand...so you only need to know how to functions work in respect to the sides of the triangle? you do not need to know the angle values for this problem?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
right exactly you can find the angles using the inverse trig buttons on your calculator, but they are not necessary for the problem
anonymous
  • anonymous
again i say it is a bit odd, because you are asked to find \[f(a)\] without knowing "a"
anonymous
  • anonymous
so, last question: what is the difference between radians and degrees?
anonymous
  • anonymous
2*pi*rad = 360 degrees is your conversion.
anonymous
  • anonymous
So if you take 360 and divide by 2*pi this will give you the number of radians in 360 or approx 57.297
anonymous
  • anonymous
If you are using your calculator the compute the angles you must be sure which mode your calculator is in, either radians or degrees.
anonymous
  • anonymous
Satellite is right about calculating the function. Here we are calculating the inverse problem where f(a) = x. We know x but we want to know a. Here a = f^-1(x).

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