1.

If π sin θ = 1, π cosθ = 1, then the value of\(\left\{ {\sqrt 3 \tan \left( {\frac{2}{3}\theta } \right) + 1} \right\}\) is1). 02). √33). 24). 1

Answer»

⇒ given:π sin θ = 1-----1 and π cosθ = 1-----2

⇒ dividing both the above equation we get

⇒ π sin θ/π cosθ = 1/1

TAN θ = 1

⇒ θ = 45

⇒ Let x = $(\left\{ {\sqrt 3 \tan \left( {\FRAC{2}{3}\THETA } \right) + 1} \right\})$

⇒ putting the VALUE of θ in

⇒ x = √3 tan (2/3)x 45) + 1

⇒ x = √3 tan (30) + 1)

⇒ x = √3 x (1/√3) + 1

∴ x = 2


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