Determine the measure(s) of θ given each restriction. Include a quick sketch in your work.
cosθ=-1, 0≤θ<2π
sinθ=-12, 0≤θ<2π
cosθ=-22, 0≤θ<2π
cosθ=-12, 0≤θ≤π
sinθ=-32, 2≤θ≤3π2
cosθ=-22, 0≤θ≤π
sinθ=1, 0≤θ≤4π
tanθ=1, 0≤θ≤2π
tanθ is undefined, 0≤θ≤2π

The angles in a triangle are represented by 5x, 8x, and 2x+9. what is the value of ? a.10.8 b.11.4 c.9.7 d.7.2

The vice president of programming at nbc is finalizing the prime-time schedule for the fall. she has decided to include a hospital drama but is unsure which of two possibilities to select. she has a pilot called the surgeon and another called critical care. to her make a final decision, a sample of 20 viewers from throughout the united states was asked to watch the two pilots and indicate which show they prefer. the results were that 12 liked the surgeon, 7 liked critical care, and one had no preference. state the decision rule, using the 0.10 significance level. h0: π = 0.50 h1: π ≠ 0.50 1. reject h0 if number of + signs is either < = or > = 2. what is your decision regarding h0? is there a preference for one of the two shows?

In the triangle below, what is the length of the side opposite the 60° angle?