Question #17fc7

1 Answer
Alan P.
Mar 7, 2017

#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]#

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