How do you plug the inverse csc (-7/3) into the calculator?

Question

Dylan Arnold · Accepted Answer

Plug in calculator to find csc(-7/3)

Ans: arc x = -25.37 deg

Order of plug in: (7) (:) (3) (=) (-) (1/x) (2nd) (sin) The answer will be #x = - 25.37# deg

Elijah Alexander · Answer

Use the inverse sine function.

#csc^-1(-7/3)# is a number between #-pi/2# and #pi/2# whose cosecant is #-7/3#). That means the sine is #-3/7#. #csc^-1(-7/3) = sin^-1(-3/7)#. In general, because #csc theta = 1/sin theta#, we have: #csc^-1 x = sin^-1 (1/x)# Note: we use a similar idea to find inverse secant and inverse cotangent on many calculators. #sec^-1 x = cos^-1(1/x)# and #cot^-1 x = tan^-1(1/x)# (The last works if we take the range of #cot^-1# to be the same as that of #tan^-1# -- a popular choice in this computer age. The description is a bit more complicated if we take the range of #cot^-1 x# to be the same as that of #cos^-1# -- a traditional choice that makes the inverse cotangent continuous.)

Carter Anderson · Answer

undefined To plug the inverse cosecant of (-7/3) into a calculator, follow these steps:

1. Press the "INV" or "2nd" button on your calculator.
2. Then press the "CSC" or "sin^-1" button (depending on your calculator model).
3. Input the value (-7/3) using the appropriate buttons.
4. Press the "Enter" or "=" button to calculate the result.

The result will be the angle whose cosecant is (-7/3).