Trigonometry

posted by .

Thank you STEVE!!!!!

Suppose that Cos (theta) = 1/square root 2

if 0<equal to theta , pi/2 then
sin(theta) =
tan (theta) =

If 3pi/2 less than equal to theta , 2pi then
sin(theta) =
tan (theta) =

I know the trig functions but I feel like I am missing something here. cos (theta) = adj/hyp sin(theta) = opp/hyp...im getting confused with the numbers I am getting..can you help me solve these?

  • Trigonometry -

    always draw diagrams in the correct quadrants for this kind of stuff.

    You know that if cosθ = 1/√2, θ = 45°, and the triangle has sides 1,1,√2

    So, in QI, x and y are both positive, and
    sinθ = y/r = 1/√2
    tanθ = y/x = 1/1 = 1

    In QIV, x>0 and y<0, so
    sin = y/r = -1/√2
    tan = y/x = -1

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra II

    Which of the following expressions are not equal to 1?
  2. Calculus

    I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure …
  3. trigonometry

    can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ?
  4. trigonometry

    can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ?
  5. 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.
  6. math

    I have a question I have been working on since yesterday and I am not making this up. I couldn't get the right answer. If sin theta = -2/3, which of the following are possible?
  7. Math Trig Help

    sin theta = x/3, with theta in the first quadrant, find the expression for cos theta and tan theta. Answers will be in algebraic terms of x. Give exact answers with 0 < theta <pi/2 (0 less than or equal to theta, less than or …
  8. Trigonometry

    Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank …
  9. Trigonometry

    Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank …
  10. Precalculus

    Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment …

More Similar Questions