If rsinθ = 1, rcosθ = $$\sqrt 3 {\text{,}}$$ then the value of r2tanθ is?
If rsinθ = 1, rcosθ = $$\sqrt 3 {\text{,}}$$ then the value of r2tanθ is? Correct Answer $$\frac{4}{{\sqrt 3 }}$$
$$\eqalign{ & r\sin \theta = 1,{\text{ }}r\cos \theta = \sqrt 3 \cr & {\text{Put }}\theta = {30^ \circ } \cr & r = 2 \cr & {\text{So}},{\text{ }}{r^2}\tan \theta \cr & = {\left( 2 \right)^2} \times {\text{tan}}{30^ \circ } \cr & = 4 \times \frac{1}{{\sqrt 3 }} \cr & = \frac{4}{{\sqrt 3 }} \cr} $$
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Feb 20, 2025