The smallest positive value of - - satisfying the equation -3-tan-4 is

The correct option is C cot θ + tan θ = 4/√(3)⇒cos θ/sin θ+sin θ/cos θ=4/√(3)⇒cos^2 θ + sin^2 θ/sin θ cos θ=4/√(3)⇒2/sin 2 θ=4/√(3)⇒ sin 2 θ=√(3)/2 ⇒ 2 θ = π/3 ...

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Byju's Answer

Standard XII

Mathematics

General Solution of sin theta = sin alpha

The smallest ...

Question

The smallest positive value of $θ$ ' satisfying the equation $\sqrt{3} (c o t θ + t a n θ) = 4$ is

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Solution

The correct option is C
$c o t θ + t a n θ = \frac{4}{\sqrt{3}} \Rightarrow \frac{c o s θ}{s i n θ} + \frac{s i n θ}{c o s θ} = \frac{4}{\sqrt{3}} \Rightarrow \frac{c o s^{2} θ + s i n^{2} θ}{s i n θ c o s θ} = \frac{4}{\sqrt{3}} \Rightarrow \frac{2}{s i n 2 θ} = \frac{4}{\sqrt{3}} \Rightarrow s i n 2 θ = \frac{\sqrt{3}}{2} \Rightarrow 2 θ = \frac{π}{3} \Rightarrow θ = \frac{π}{6}$

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$The smallest value of (θ) satisfying the equation \sqrt{3} (c o t θ + t a n θ) = 4 i s$

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The smallest positive value of θ' satisfying the equation √3(cot θ+tan θ)=4 is

The correct option is C cot θ+tanθ=4√3⇒cos θsin θ+sin θcos θ=4√3⇒cos2θ+sin2θsinθ cosθ=4√3⇒2sin 2θ=4√3⇒sin 2θ=√32⇒2θ=π3⇒θ=π6

The smallest positive value of $θ$ ' satisfying the equation $\sqrt{3} (c o t θ + t a n θ) = 4$ is