Tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
=sin t/(cos t*(1-cos ²t)/cos t))
=sin t/sin² t=1/sin t [or=cosec t.]
Answer:
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The circumference (in terms of "π") is: " 12π in. " .
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The circumference (using "3.14" as an approximation for "π") is: " 37.7 in. " .
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Circumference, "C" = π* d ; (d = diameter = 12 in.);
C = π* d = π * 12 in. = " 12π in. " (in terms of "π").
Or, using the approximation, "π ≈ 3.14" ;
C = 3.14 * (12 in.) = 37.68 inches ; round to: " 37.7 in. " .
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Answer:
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Step-by-step explanation:
To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.
LINE A
Substituting the first line into the formula, we will get...
(2 - 5)/(0 -(-4))
-3/4
LINE B
Substituting the second line's points into the formula we will get...
(2 - 6)/(3 - 6)
-4/-3
4/3
LINE C
Substituting the third line's points into the formula we will get...
(3 -(-1)/(0 -(-3))
4/3
So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.
And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.
Therefore...
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Round 5.7255 to the thousands place
the place after the thousands place (5) rounds up the 5 before it
therefore 5.726 is your answer