1.

If cot a=2 and cot b=3, then what is the value of a+b

Answer»
we \: know \\  \cot(a + b)  =  \frac{ \cot(a)  \cot(b) - 1 }{ \cot(a) +  \cot(b)  }  \\  =  \frac{2 \times 3 - 1}{2 + 3}  =  \frac{5}{5}  = 1 \\ thus \:  \: a + b = 45 \: degrees


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