Evaluate
\frac{\sqrt{3}}{2}-1\approx -0.133974596
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\cos(\pi )+\cos(\frac{\pi }{6})
Cancel out 2 and 2.
-1+\cos(\frac{\pi }{6})
Get the value of \cos(\pi ) from trigonometric values table.
-1+\frac{\sqrt{3}}{2}
Get the value of \cos(\frac{\pi }{6}) from trigonometric values table.
-\frac{2}{2}+\frac{\sqrt{3}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply -1 times \frac{2}{2}.
\frac{-2+\sqrt{3}}{2}
Since -\frac{2}{2} and \frac{\sqrt{3}}{2} have the same denominator, add them by adding their numerators.
Examples
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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