Question

Use a calculator to find a value of theta between 0 degrees and 90 degrees that satisfies the statement. Write your answer in degrees and minutes rounded to the nearest minute.

csc(t)=7.0683

Answer 1

In the trigonometric identities, csc (t) is the inverse of sin (t). Thus, to input this in the calculator it would be:

1/sin(t) = 7.0683
sin (t) = 1/7.0683
t = arc sin (1/7.0683)
t = 8.13 degrees or
t = 8 degrees and 7 minutes