Download App

INVERSE TRIGNOMETRIC FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINVERSE TRIGNOMETRIC FUNCTIONS2 Marks
Question
Write the value of $\tan\Big(2\tan^{-1}\frac{1}{5}\Big)$
✓

Answer

Let $\tan\theta=\frac{1}{5}$$\tan\Big(2\tan^{-1}\frac{1}{5}\Big)$
$=\tan2\theta$
$=\frac{2\tan\theta}{1-\tan^2\theta}$
$=\frac{2\times\frac{1}{5}}{1-\frac{1}{25}}$
$=\frac{\frac{2}{5}}{\frac{24}{25}}$
$=\frac{5}{12}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from INVERSE TRIGNOMETRIC FUNCTIONS→INVERSE TRIGNOMETRIC FUNCTIONS — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Evaluate the product $\left( {3\vec a - 5\vec b} \right).\left( {2\vec a + 7\vec b} \right)$
→
Find the values of $\mathrm{a}, \mathrm{b}, \mathrm{c}$ and $\mathrm{d}$ from the equation $\left[\begin{array}{cc}a-b & 2 a+c \\ 2 a-b & 3 c+d\end{array}\right]=\left[\begin{array}{cc}-1 & 5 \\ 0 & 13\end{array}\right]$.
→
If $\text{A}=\begin{bmatrix}2&1&4\\4&1&5 \end{bmatrix}$ and $\text{B}=\begin{bmatrix}3&-1\\2&2\\1&3\end{bmatrix}.$ Write the order of AB and BA.
→
Write tha value of $\int\sec\text{x}(\sec\text{x}+\tan\text{x})\text{dx}$
→
If matrix $\text{A}=\begin{bmatrix}2&-2\\-2&2 \end{bmatrix}$ and $A^2= pA$, then write the value of p.
→
Write the function in the simplest form: ${\tan ^{ - 1}}\frac{x}{{\sqrt {{a^2} - {x^2}} }},\left| x \right| < a$
→
Compute the products AB and BA whichever exists the following cases:
$\text{A}=\begin{bmatrix}3&2\\-1&0\\-1&1\end{bmatrix}$ and $\text{B}=\begin{bmatrix}4&5&6\\0&1&2\end{bmatrix}$
→
Suppose that a radio tube inserted into a certain type of set has probability $0.2$ of functioning more than $500$ hours. If we test $4$ tubes at random what is the probability that exactly three of these tubes function for more than $500$ hours$?$
→
A Box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, other wise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.
→
Let f defined on [0, 1] be twice differentiable such that $|\text{f}'(\text{x})|\leq1$ for all $\text{x}\in[0,1].$ If f(0) = f(1), then show that $|\text{f}'(\text{x})|<1$ for all $\text{x}\in[0,1].$
→