Question

the value of tan h (log √3)​

Answer 1

Answer:

tanh(3)

Step-by-step explanation:

tanh(3)

tanh(0.48)

0.45

Answer 2

Answer:

The value of $\tan h(\log \sqrt{3})$ is 0.24.

Step-by-step explanation:

We are required to find the value of $\tan h(\log \sqrt{3})$.

Firstly, we will calculate the value of $(\log \sqrt{3})$:

Using a logarithmic calculator, the value of $(\log \sqrt{3})$ is approximately equal to $0.25$.

Now we can write $\tan h(\log \sqrt{3})=\tan h(0.25)$.

The hyperbolic tangent of any angle $x$ is the ratio of the hyperbolic sine and hyperbolic cosine:

$\tanh (x)=\frac{\sinh (x)}{\cosh (x)}=\frac{e^{2 x}-1}{e^{2 x}+1}$

Therefore,

$\tanh (0.25)=\frac{\sinh (0.25)}{\cosh (0.25)}=\frac{e^{2 \times0.25}-1}{e^{2\times0.25}+1}$

$\frac{e^{2 \times 0.25}-1}{e^{2 \times 0.25}+1}=\frac{e^{0.5}-1}{e^{0.5}+1}=\frac{1.64-1}{1.64+1}\\\frac{0.64}{2.64} =0.24$

Thus, the required value is $0.24$.