Help with simplifying a trigonometric expression
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Could anyone help simplify this expression,
$$dfrac{sin^{(-1)}left(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
$$
It's in degrees.
trigonometry
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
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add a comment |
$begingroup$
Could anyone help simplify this expression,
$$dfrac{sin^{(-1)}left(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
$$
It's in degrees.
trigonometry
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
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Welcome the Mathematics Stack Exchange community. A quick tour of the site will help you get the most of your time here. For typesetting your equations, please use MathJax. Here is a great reference.
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– dantopa
Jan 9 at 22:53
add a comment |
$begingroup$
Could anyone help simplify this expression,
$$dfrac{sin^{(-1)}left(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
$$
It's in degrees.
trigonometry
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
$endgroup$
Could anyone help simplify this expression,
$$dfrac{sin^{(-1)}left(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
$$
It's in degrees.
trigonometry
trigonometry
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
edited Jan 9 at 23:17
L. Kohler
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
asked Jan 9 at 22:40
L. KohlerL. Kohler
11
11
$begingroup$
Welcome the Mathematics Stack Exchange community. A quick tour of the site will help you get the most of your time here. For typesetting your equations, please use MathJax. Here is a great reference.
$endgroup$
– dantopa
Jan 9 at 22:53
add a comment |
$begingroup$
Welcome the Mathematics Stack Exchange community. A quick tour of the site will help you get the most of your time here. For typesetting your equations, please use MathJax. Here is a great reference.
$endgroup$
– dantopa
Jan 9 at 22:53
$begingroup$
Welcome the Mathematics Stack Exchange community. A quick tour of the site will help you get the most of your time here. For typesetting your equations, please use MathJax. Here is a great reference.
$endgroup$
– dantopa
Jan 9 at 22:53
$begingroup$
Welcome the Mathematics Stack Exchange community. A quick tour of the site will help you get the most of your time here. For typesetting your equations, please use MathJax. Here is a great reference.
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– dantopa
Jan 9 at 22:53
add a comment |
1 Answer
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$begingroup$
$begin{array}\
dfrac{arcsinleft(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
&=dfrac{arcsinleft(dfrac{sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}
qquadtext{converting to radians}\
&=dfrac{arcsinleft(sqrt{1-pi/4}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}\
\
&=-0.054022154...
qquadtext{according to Wolfy}\
end{array}
$
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
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1 Answer
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1 Answer
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$begingroup$
$begin{array}\
dfrac{arcsinleft(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
&=dfrac{arcsinleft(dfrac{sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}
qquadtext{converting to radians}\
&=dfrac{arcsinleft(sqrt{1-pi/4}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}\
\
&=-0.054022154...
qquadtext{according to Wolfy}\
end{array}
$
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
$endgroup$
add a comment |
$begingroup$
$begin{array}\
dfrac{arcsinleft(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
&=dfrac{arcsinleft(dfrac{sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}
qquadtext{converting to radians}\
&=dfrac{arcsinleft(sqrt{1-pi/4}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}\
\
&=-0.054022154...
qquadtext{according to Wolfy}\
end{array}
$
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
$endgroup$
add a comment |
$begingroup$
$begin{array}\
dfrac{arcsinleft(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
&=dfrac{arcsinleft(dfrac{sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}
qquadtext{converting to radians}\
&=dfrac{arcsinleft(sqrt{1-pi/4}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}\
\
&=-0.054022154...
qquadtext{according to Wolfy}\
end{array}
$
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
$endgroup$
$begin{array}\
dfrac{arcsinleft(dfrac{sin(90)sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{360}-0.5sqrt{frac1{pi}-0.25}
&=dfrac{arcsinleft(dfrac{sqrt{frac1{pi}-0.25}}{sqrt{frac1{pi}}}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}
qquadtext{converting to radians}\
&=dfrac{arcsinleft(sqrt{1-pi/4}right)}{2pi}-0.5sqrt{frac1{pi}-0.25}\
\
&=-0.054022154...
qquadtext{according to Wolfy}\
end{array}
$
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
answered Jan 9 at 22:59
marty cohenmarty cohen
73.1k549128
73.1k549128
add a comment |
add a comment |
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Welcome the Mathematics Stack Exchange community. A quick tour of the site will help you get the most of your time here. For typesetting your equations, please use MathJax. Here is a great reference.
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– dantopa
Jan 9 at 22:53