If -3tan 2 -3 and 0- 90- then-

The correct option is C 30^∘ √(3) tan 2θ=3 tan 2θ= 3/√(3) tan 2θ= √(3) tan 2θ= tan 60^∘ Taking inverse on both sides we get, 2 θ = 60^∘ θ = 30^∘ Hence (C) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Values of Trigonometric Ratios

If √3tan 2 θ=...

Question

If $\sqrt{3} t a n 2 θ = 3$ and $0 < θ \leq 90^{\circ} θ$ then

$θ$ = __________________

$60^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$45^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$30^{\circ}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$30^{\circ}$

$\sqrt{3} t a n 2 θ = 3$

$t a n 2 θ = \frac{3}{\sqrt{3}}$

$t a n 2 θ = \sqrt{3}$

$t a n 2 θ = t a n 60^{\circ}$

Taking inverse on both sides we get,

$2 θ = 60^{\circ}$

$θ = 30^{\circ}$

Hence (C)

Suggest Corrections

Similar questions

Q. If

\sqrt{3} \tan 2 θ - 3 = 0 then θ = ?

(a) 15°
(b) 30°
(c) 45°
(d) 60°

If $\sqrt{3}$ tan $2 θ$ - 3 = 0 then $θ$ = ?

(a) $15^{o}$ (b) $30^{o}$ (c) $45^{o}$ (d) $60^{o}$

If 3 \tan^{2} θ - 4 \sqrt{3} \tan θ + 3 = 0, find the acute angle s θ

Q. If

\sqrt{3}

tan 2θ − 3 = 0, then θ = ?
(a) 15°
(b) 30°
(c) 45°
(d) 60°

The value of θ in √3tan2θ - 3 = 0 is

Join BYJU'S Learning Program

If √3 tan 2θ=3 and 0<θ≤90∘θ then θ = __________________

The correct option is C 30∘ √3 tan 2θ=3 tan 2θ=3√3 tan 2θ=√3 tan 2θ=tan 60∘ Taking inverse on both sides we get, 2θ=60∘ θ=30∘ Hence (C)

If $\sqrt{3} t a n 2 θ = 3$ and $0 < θ \leq 90^{\circ} θ$ then

$θ$ = __________________

The correct option is C
$30^{\circ}$

$\sqrt{3} t a n 2 θ = 3$

$t a n 2 θ = \frac{3}{\sqrt{3}}$

$t a n 2 θ = \sqrt{3}$

$t a n 2 θ = t a n 60^{\circ}$

Taking inverse on both sides we get,

$2 θ = 60^{\circ}$

$θ = 30^{\circ}$

Hence (C)