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:
Types of Sewing Machines
Mechanical Treadle Sewing Machines.
Electronic Mechanical Sewing Machines.
Mini and Portable Machines.
Computerized or Automated Machines.
Embroidery Machines.
Quilting Machines.
Overlocking or Serger Machines.
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Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
Answer:
8x and -20y
Step-by-step explanation:
any number that contains a variable is a coefficient.
