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