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If I have a right triangle and side a=21cm, side b=26cm, and side c=33.42cm, find the sine of angle A.

 Nov 17, 2014

Best Answer 

 #1
avatar+118723 
+5

Just use the sine rule

$$\\sinA=\frac{opposite}{hypotenuse}\\\\
sinA=\frac{a (by\; convention)}{33.42 (longest\; side)}\\\\
sinA=\frac{21}{33.42}\\\\
A=sin^{-1}\left(\frac{21}{33.42}\right)\\\\
$or if you use the web2 calc it is$\\\\
A=asin(21/33.42)\\\\\\
$arc sine means the same as inverse sine$$$

 

Make sure you have the calculator set to degrees.  There is a button that the bottom left on the site calc.

 Nov 17, 2014
 #1
avatar+118723 
+5
Best Answer

Just use the sine rule

$$\\sinA=\frac{opposite}{hypotenuse}\\\\
sinA=\frac{a (by\; convention)}{33.42 (longest\; side)}\\\\
sinA=\frac{21}{33.42}\\\\
A=sin^{-1}\left(\frac{21}{33.42}\right)\\\\
$or if you use the web2 calc it is$\\\\
A=asin(21/33.42)\\\\\\
$arc sine means the same as inverse sine$$$

 

Make sure you have the calculator set to degrees.  There is a button that the bottom left on the site calc.

Melody Nov 17, 2014

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