Question

If 3 cot O = 2 ,then the value of tan O (i) 2/3, (ii) 3/2 ,(iii) 3/√13 (iv) 2/√13.​

Answer 1

Correct Question:-

If 3 cotθ = 2 , then find the value of tanθ.

Option 2 is correct.

Explanation:-

$\large\rm { 3 \cot \theta = 2}$

$\large\rm { \cot \theta = \frac{2}{3}}$

We know that,

$\large\rm { \tan \theta = \frac{1}{ \cot \theta}}$

$\large\rm{\boxed { \tan \theta = \frac{3}{2}}}$

Hence, (ii) option is correct.

Answer 2

Answer:

Option 2 is correct.

Explanation:-

theta = 2}3cot{2}{3}}cotθ=

3

2

We know that,

tanθ=

cotθ

1