if cos 2 theta = -(1/3) and theta is in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta

1 answer

-1/3 = cos 2theta = 1 - 2 sin^2 theta
2 sin^2 theta = 4/3
sin theta = sqrt(2/3)
cos theta = sqrt(1 - 2/3) = -sqrt(1/3)
(minus since theta must be in quadrant 2)

tan theta = -sqrt2

theta = 125.26 degrees

You draw the figure
Similar Questions
    1. answers icon 2 answers
  1. Multiple ChoiceWhich expression is NOT equivalent to 1? (theta) means 0 with dash in it. A.)sin^2 (theta)+cot^2 (theta) sin^2
    1. answers icon 0 answers
  2. Suppose that \Theta takes values in [0,1] and its PDF is of the formf_{\Theta }(\theta )= a\theta (1-\theta )^2,\ \ \
    1. answers icon 1 answer
    1. answers icon 2 answers
more similar questions