find the function value to four decimal places.

Question

Find the function value of

csc 54°19'20''

Answer 1

csc=1/cos

csc54°19'=1/.5833=1.7143. No seconds on this chart. The date on this book is 1935.

The modern way is to make ° ' " into ° only.

Working with 54°19'20" we get 54+19/60+20/3600.

=54.3222°

1/cos " =1.7146

Answer 2

That's about 1.2361. for 54 degrees.

It's the same as the sine of 54 degrees divided into 1. or 1/.809

If the degree is slightly more than 54 degrees, then the sine is slightly more and the cosecant is slightly less. So, the final answer is slightly less than 1.2361.

Convert 19 minutes, 20 seconds into a decimal fraction of a degree and most trig calculators, hand held or on line will give you a more precise answer.