Question

If sec 48 = 1.4945, find csc 42

Answer 1

Because cos(x) = 1/sec(x), therefore
cos(48) = 1/1.4945 = 0.6691

The angle 48° is in quadrant 1, therefore cos, sin, tan, sec, csc and cot functions are all positive.

Note that sin(90° - x) = cos(x).
Therefore
sin(90 - 48) = cos(48)
sin(42°) = cos(48°) = 0.6691

Because csc(x) = 1/sin(x), therefore
csc(42°) = 1/sin(42°) = 1/0.6691 = 1.4945

Answer:  1.4945