The minimum value of 9 tan 2-4 2- is

As we know, A.M. ≥ nbsp;G.M. ⇒ nbsp; 9 tan^2 θ + 4 ^2 θ/2 ≥ √(4 ^2 θ. 9 tan^2 θ) ⇒ nbsp;9 tan^2 θ + 4 ^2 θ nbsp; ≥ 12 Therefore, the minimum value ...

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Standard XII

Mathematics

Range of Trigonometric Expressions

The minimum v...

Question

The minimum value of $9 t a n^{2} θ + 4 c o t^{2} θ$ is

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Solution

The correct option is D
12

A.M. $\geq$ G.M.

$\Rightarrow$ $\frac{9 t a n^{2} θ + 4 c o t^{2} θ}{2}$ $\geq$ $\sqrt{4 c o t^{2} θ . 9 t a n^{2} θ}$

$\Rightarrow$ $9 t a n^{2} θ + 4 c o t^{2} θ$ $\geq$ 12

Therefore, the minimum value is 12.

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Similar questions

Q. The minimum value of

9 {tan}^{2} θ + 4 {cot}^{2} θ

2 k

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{tan}^{2} θ + 4 {cot}^{2} θ

The minimum value of $9 t a n^{2} θ + 4 c o t^{2} θ$ is

Q. If

\cos θ = \frac{3}{4}

, then find the value of 9tan² θ + 9.

9 {tan}^{2} θ - 9 {sec}^{2} θ =

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The minimum value of 9tan2θ+4cot2θ is

The correct option is D 12 A.M. ≥ G.M. ⇒ 9tan2θ+4cot2θ2 ≥ √4cot2θ.9tan2θ ⇒ 9tan2θ+4cot2θ ≥ 12 Therefore, the minimum value is 12.

The minimum value of $9 t a n^{2} θ + 4 c o t^{2} θ$ is

The correct option is D
12

A.M. $\geq$ G.M.

$\Rightarrow$ $\frac{9 t a n^{2} θ + 4 c o t^{2} θ}{2}$ $\geq$ $\sqrt{4 c o t^{2} θ . 9 t a n^{2} θ}$

$\Rightarrow$ $9 t a n^{2} θ + 4 c o t^{2} θ$ $\geq$ 12

Therefore, the minimum value is 12.