Answer:
Quadrant 4
Step-by-step explanation:
Csc = 1/sin
Cos is positive in quadrants 1 and 4
Sin is negative in quadrants 3 and 4
Polar coordinates (r,ϑ) and Cartesian coordinates (x,y) are related as follows:
Cartesian -> Polar
x = r cos(ϑ)
y = r sin(ϑ)
Polar -> Cartesian
r^2 = x^2 + y^2
ϑ = arctan( y/x)
The polar coo's can be extended to cylindrical by introduction a dimension z - which is perpendicular to the polar plane, it follows that:
z = z
in between the systems (r,ϑ,z) and (x,y,z)
The polar coordinates are particularly useful when a problem has circular or cylindrical symmetry, i.e. it is usually "easier" to perform calculations on a circle (for example) using the polar coordinates.
Answer:
15 degrees & 75 degrees
Step-by-step explanation:
A complementary angles are angles that add up to be 90 degrees. The ration of one of those angles to the other is 1:5.
One angle will be x degrees, and the other will be 5x degrees. Together, they will be 90 degrees. We can turn that into this equation:
5x + x = 90
6x = 90
x = 15
So, since x is 15 degrees, one of the angles is 15 degrees, and the other is 5 times that, or 75 degrees.
