You can calculate this on any scientific calculator. Those calculators don't usually have a special key for the cosecans, but this is the same as 1 / sin(63).
csc(74) = 1.0403 (rounded)
2.281
.835807361
A pair of supplementary angles add up to 180 degrees. Therefore, the supplement to a 63 degree angle is equal to 180 - 63 = 117 degrees.
It's an acute angled triangle...
csc(74) = 1.0403 (rounded)
csc(74) = 1.0403 (rounded)
1.836
1.2690182150726
2.281
csc = 1/sin csc (74o) = 1/sin(74o) = 1/0.9613 = 1.0403
.835807361
A pair of supplementary angles add up to 180 degrees. Therefore, the supplement to a 63 degree angle is equal to 180 - 63 = 117 degrees.
The complement of a 27-degree angle is the angle that, when added to the original angle, equals 90 degrees. Therefore, the complement of a 27-degree angle would be 63 degrees.
It's an acute angled triangle...
Since you are asked to find the complement you need to find 90 degrees total. An angle of 27 degrees complements an angle of 63 degrees. Your answer is 27 degrees.
That depends on the value of the angle, theta. csc is short for "cosecans", and is the reciprocal of the sine. That is, csc theta = 1 / sin theta.