Question

TRUE OR FALSE? Arccot 4/3 gives an angle in a right triangle having legs length 3 and 4

Answer 1

Check the picture below.

`\cot(\theta )=\cfrac{\stackrel{adjacent}{4}}{\underset{opposite}{3}}\implies \cot^(-1)[\cot(\theta )]=\cot^(-1)\left( \cfrac{4}{3} \right) \\\\\\ \theta =\cot^(-1)\left( \cfrac{4}{3} \right)\implies \theta \approx 36.87^o ~~ \textit{\LARGE \checkmark}`