Question

Question #17fc7

Answer 1

`theta ~~ 0.848 ("radians") or 48.6^@`

Explanation:

I have assumed that you meant `sin^(-1)(3/4)` (without the period/multiplication)

If `sin^(-1)(3/4)=theta` then `sin(theta)=3/4`

Unfortunately this is not one of the standard "opposite side" over "hypotenuse" ratios.

For all practical purposes, the best you can do is use a calculator or spreadsheet. Your calculator may have a button labelled `sin^(-1)` or `arcsin`; for most spreadsheet programs the function would need is asin(...)

Note that by definition, as a function `sin^(-1)` (or `arcsin`) is restricted to a range of `[-pi/2,+pi/2]`