If 180° < <em>θ</em> < 270°, then 90° < <em>θ</em>/2 < 135°, which places <em>θ</em>/2 in the second quadrant so that sin(<em>θ</em>/2) > 0 and cos(<em>θ</em>/2) < 0.
Recall that
cos²(<em>θ</em>/2) = (1 + cos(<em>θ</em>))/2
==> cos(<em>θ</em>/2) = -√[(1 + (-15/17))/2] = -1/√17
and
sin²(<em>θ</em>/2) = (1 - cos(<em>θ</em>))/2
==> sin(<em>θ</em>/2) = +√[(1 - (-15/17))/2] = 4/√17
Then
tan(<em>θ</em>/2) = sin(<em>θ</em>/2) / cos(<em>θ</em>/2)
… = (4/√17) / (-1/√17)
… = -4
Answer:
4
Step-by-step explanation:
do 320 +320 untill you get to 1,600
The answer to the problem would be false
Answer:
a) Classical
b) Subjective
c) Empirical
Step-by-step explanation:
a) Classical probability: In classical probability, all the events have the same probability. When flipping a coin, the probability of getting tails is the same as the probability of getting tails, therefore, the probability of both events is 50%.
b) Subjective probability: Subjective probability is derived from a personal judgement based on previous experiences. In this case, John would be calculating his probability of receiving A's based on his previous semesters.
c) Empirical probability: is the ratio between the number of outcomes a scenario happens and the total of trials in an ACTUAL EXPERIMENT. In this case, the reporter would be calculating this probability based on his previous experiences attending actual conferences.
Answer:
a=70 vertically opp angles
b=80 linear pair
c=100 corresponding angles
d= 80 linear pair with c
e= 180 -a-d
=180-70-80
=30
