Question 1041618:
A)
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
csc 23°
B)
Convert the angle measures to degrees, minutes, and seconds. Round seconds to whole units, if necessary.
57.36° ...........(I got 57 21' 36" ) but they counted it wrong....
C)
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.
4X+7Y=0 IN quadrant II
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713)   (Show Source):
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! A)
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
csc 23° = sec(90-23) = sec(67 deg)
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B)
Convert the angle measures to degrees, minutes, and seconds. Round seconds to whole units, if necessary.
57.36° ...........(I got 57 21' 36" ) but they counted it wrong....
57.36 deg = 57deg (.36*60)min = 57deg 21.6min = 57deg 21min 36sec
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C)
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.
4X+7Y=0 IN quadrant II
y = (-4/7)x
If x = 7, y = -4
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r = sqrt(7^2+4^2) = sqrt(65)
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sin = y/r = -4/sqrt(65)
cos = x/r = 7/sqrt(65)
tan = y/x = -4/7
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csc = r/y = -sqrt(65)/4
sec = r/x = sqrt(65)/7
cot = x/y = -7/4
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Cheers,
Stan H.
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