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\cot(270+45)=\frac{\cot(270)\cot(45)-1}{\cot(45)+\cot(270)}
Use \cot(x+y)=\frac{\cot(x)\cot(y)-1}{\cot(y)+\cot(x)} where x=270 and y=45 to obtain the result.
\frac{0\cot(45)-1}{\cot(45)+0}
Get the value of \cot(270) from trigonometric values table. Replace the value in both the numerator and the denominator.
\frac{0\times 1-1}{1+0}
Get the value of \cot(45) from trigonometric values table. Replace the value in both the numerator and the denominator.
-1
Do the calculations.
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