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

Byju's Answer

Standard XII

Mathematics

Principal Solution of Trigonometric Equation

If tanh x=1...

Question

If $tanh x = 1 / 2$ , then the value of $tanh (3 x) =$

14 / 13

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

14 / 15

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

15 / 13

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

13 / 14

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

Open in App

Solution

The correct option is D $13 / 14$
Given $tanh x = \frac{1}{2}$

$tanh (3 x) = \frac{3 tanh x + {tanh}^{3} x}{1 + 3 {tanh}^{2} x} = \frac{\frac{3}{2} + \frac{1}{8}}{1 + \frac{3}{4}} = \frac{\frac{12 + 1}{8}}{\frac{4 + 3}{4}} = \frac{13}{14}$

Suggest Corrections

Similar questions

Q. The ages of students of 10^th class, in a school are as follows. The ages are given in years months.

14

-

6, 13

-

11, 15

-

2, 16

-

0, 13

-

9, 14

-

5, 14

-

7, 14

-

0,
15

-

0, 15

-

1, 16

-

2, 14

-

1, 13

-

11, 16

-

0, 14

-

5, 14

-

0,
14

-

8, 14

-

4, 15

-

4, 15

-

9, 15

-

1, 14

-

10, 14

-

-

8

15

-

1, 14

-

1, 16

-

0, 13

-

10, 14

-

0, 15

-

0, 13

-

6, 13

-

11,
14

-

3, 14

-

8, 14

-

7, 14

-

8, 14

-

1, 15

-

0, 15

-

1, 14

-

4,
14

-

9, 14

-

9, 14

-

10, 15

-

3, 14

-

9, 13

-

10, 13

-

2, 15

-

1,

Prepare a grouped frequency distribution table (classes; 13

-

14, 14

-

15, 15

-

16, ....)

Q. The value of

∣ ∣ ∣ ∣ \begin{matrix} 11 & 12 & 13 12 & 13 & 14 13 & 14 & 15 \end{matrix} ∣ ∣ ∣ ∣

,is

13 (168) 13, 14 (181) 13, 15 (?) 13

Q. Find the value of the given expression:

\frac{1}{4 - \sqrt{15}} - \frac{1}{\sqrt{15} - \sqrt{14}} + \frac{1}{\sqrt{14} - \sqrt{13}} - \frac{1}{\sqrt{13} - \sqrt{12}} + \frac{1}{\sqrt{12} - \sqrt{11}} - \frac{1}{\sqrt{11} - \sqrt{10}} + \frac{1}{\sqrt{10} - 3}

Q. The ages of children in a scout camp are

13, 13, 14, 15, 13, 15, 14, 15, 13, 15

years. Find the mean, median and mode of the data.

Join BYJU'S Learning Program

If tanhx=1/2, then the value of tanh (3x)=

The correct option is D 13/14Given tanhx=12tanh(3x)=3tanhx+tanh3x1+3tanh2x=32+181+34=12+184+34=1314

If $tanh x = 1 / 2$ , then the value of $tanh (3 x) =$

The correct option is D $13 / 14$
Given $tanh x = \frac{1}{2}$

$tanh (3 x) = \frac{3 tanh x + {tanh}^{3} x}{1 + 3 {tanh}^{2} x} = \frac{\frac{3}{2} + \frac{1}{8}}{1 + \frac{3}{4}} = \frac{\frac{12 + 1}{8}}{\frac{4 + 3}{4}} = \frac{13}{14}$