math

posted by .

theta is a first quadrant angle in standard position and cos theta = 1/(sqrt10) .

Find the exact value of sin theta,

  • math -

    (sin theta)^2+(cos theta)^2=1;
    (sin theta)^2+1/10=1;
    (sin theta)^2=9/10

    sin theta= 3/(sqrt10)
    OR
    sin theta=-3/(sqrt10)

    But since theta is a first quadrant angle
    ==> sin theta is positive

    Therefore, sin theta= 3/(sqrt10)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. simple trig

    If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right?
  2. easy trig

    If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right?
  3. trig

    the terminal side of angle theta in standard position lies on the line that travels through point (9,1), find sin of theta, cos of theta, tan of theta. (give exact values)
  4. Math

    1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and …
  5. trig

    If theta is the measure of an angle in standard position with the given conditions, find the quadrant(s) in which the terminal side of theta lies. a) cot theta < 0 b) cos theta > 0 , csc theta < 0
  6. trig

    If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.
  7. math

    Another: theta is a second quadrant angle in standard position and tan theta = - (sqrt5)/(2) . Find the exact value of cos theta.
  8. math

    Another: theta is a second quadrant angle in standard position and tan theta = - (sqrt5)/(2) . Find the exact value of cos theta. I assume I use the equation 1 / cos(theta)^2 = 1 + tan (theta)^2 However how does this work out algebraically?
  9. Math

    angle theta is in the standard position and 0'=<theta=<180'. If cos theta = -2/3, find the exact value of sin theta* tan theta.
  10. Trig

    suppose that the angle theta is in the second quadrant, and that sin(theta)=1/3. Find exact values for cos (theta) and csc (theta)

More Similar Questions