Question #17fc7

Question

Question #17fc7

1 Answer

Impact of this question

1006 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-07T02:32:00

$θ \approx 0.848 (radians) or {48.6}^{\circ}$ $theta ~~ 0.848 ("radians") or 48.6^@$

Explanation:

I have assumed that you meant ${sin}^{- 1} (\frac{3}{4})$ $sin^(-1)(3/4)$ (without the period/multiplication)

If ${sin}^{- 1} (\frac{3}{4}) = θ$ $sin^(-1)(3/4)=theta$ then $sin (θ) = \frac{3}{4}$ $sin(theta)=3/4$

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 ${sin}^{- 1}$ $sin^(-1)$ or $arcsin$ $arcsin$ ; for most spreadsheet programs the function would need is asin(...)

Note that by definition, as a function ${sin}^{- 1}$ $sin^(-1)$ (or $arcsin$ $arcsin$ ) is restricted to a range of $[- \frac{π}{2}, + \frac{π}{2}]$ $[-pi/2,+pi/2]$

Science

Math

Humanities

... and beyond

Question #17fc7

1 Answer

Explanation:

Related questions

Impact of this question