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(sin(30)cos(60))/(cos(45)-tan(45))

 Jul 9, 2014

Best Answer 

 #1
avatar+118723 
+5

 

$$((1/2)*(1/2))/((1/\sqrt2)-1)\\\\
=\frac{1}{4}\div \frac{1-\sqrt2}{\sqrt2}\\\\
=\frac{1}{4}\times \frac{\sqrt2}{1-\sqrt2}\\\\
=\frac{1}{4}\times \frac{\sqrt2}{1-\sqrt2}\times \frac{1+\sqrt2}{1+\sqrt2}\\\\
=\frac{1}{4}\times \frac{\sqrt2(1+\sqrt2)}{1-2}\\\\
=\frac{\sqrt2(1+\sqrt2)}{-4}\\\\
=\frac{-2-\sqrt2)}{4}\\\\$$

.
 Jul 9, 2014
 #1
avatar+118723 
+5
Best Answer

 

$$((1/2)*(1/2))/((1/\sqrt2)-1)\\\\
=\frac{1}{4}\div \frac{1-\sqrt2}{\sqrt2}\\\\
=\frac{1}{4}\times \frac{\sqrt2}{1-\sqrt2}\\\\
=\frac{1}{4}\times \frac{\sqrt2}{1-\sqrt2}\times \frac{1+\sqrt2}{1+\sqrt2}\\\\
=\frac{1}{4}\times \frac{\sqrt2(1+\sqrt2)}{1-2}\\\\
=\frac{\sqrt2(1+\sqrt2)}{-4}\\\\
=\frac{-2-\sqrt2)}{4}\\\\$$

Melody Jul 9, 2014
 #2
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sin 30 ° + cos 60 ° 

sin 45 °  - cos 30 ° 

 Apr 7, 2016

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