1. Questions

Alg2/Trig

Find the exact value of the trigonometric function given that sin u = 5/13 and cos v = -3/5. (Both u and v are in Quadrant II.)

Find csc(u-v).

First of all, I drew the triangles of u and v. Also, I know the formula of sin(u-v) is sin u * cos v - cos u * sin v. However, I am confused of what you do when you have csc(u-v). Would you do csc u * sec v - sec u * csc v?

Thanks.

  1. 👍
  2. 👎
  3. 👁
Vincent

  1. no, that is wishful thinking.

    csc(u-v) = 1/sin(u-v)

    so work out the sin(u-v) according to your formula, the take the reciprocal of your final fraction.

    1. 👍
    2. 👎
    Reiny

  2. Okay, I worked sin(u-v) out and I got 33/65. Would I then flip it over and get 65/33 as my final answer?

    1. 👍
    2. 👎
    Vincent

  4. yes, that is also what I got
    (and I checked it by finding the actual angles)

    1. 👍
    2. 👎
    Reiny

  5. Okay thanks for your help!

    1. 👍
    2. 👎
    Vincent

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    If sin(x) = 1/3 and sec(y) = 29/21 , where x and y lie between 0 and π/2, evaluate the expression using trigonometric identities. (Enter an exact answer.) cos(2y)

  2. math

    Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ. cot(θ) = 3 sin(θ)=

  3. Trig

    Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4). (0 is not the number zero I don't know what its called) I have to find r first. r=sqrt x^2+y^2

  4. math

    Find the values of sin θ, cos θ, and tan θ for the given right triangle (in the link below). Give the exact values. www.webassign.net/aufexc2/8-5-003.gif sin θ= cos θ= tan θ= my answer is c^2 = a^2 +b^2 c^2 = 5^2+12^2 c^2 =

  1. Trig

    Find the exact value of the trigonometric function given that sin u=3/5 and cos v=-8/17. Both u and v are in quadrant II. Tan (u+v)

  2. Pre-Calc

    I am really struggling with how to do these problems, I posted them a few minutes ago but the answers/work shown was incorrect. 1) a) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of

  3. trig

    Find the exact value of the trigonometric function given that sin u = − 8/17 and cos v = − 3/5. (Both u and v are in Quadrant III.) cot(v − u)

  4. Math(Correction)

    Use the given function values and trigonometric identities (including the relationship between a trigonometric function and its cofunction of a complementary angle) to find the indicated trigonometric functions. Sorry for the

  1. trig

    determine an exact expression for the trigonometric function sin(13pi/12).

  2. Math

    The graph of f(x), a trigonometric function, and the graph of g(x) = c intersect at n points over the interval 0

  3. Math

    Find the exact value of the trigonometric function given that sin u = 5/13 and cos = -3/5 1) sin(u-v) My teacher said to make two right triangles and then find the missing parts by the pyth theorem. For the 5/13 triangle I got 12

  4. Math

    Use the value sin x = 1/ 2 and cos x > 0 to find the values of all six trigonometric functions. Leave your answer in exact form, not in decimal

You can view more similar questions or ask a new question.