Show that : ^ -1 (5 13 )+ ^ -1 (3 5 )= ^ -1 (63 16 ) - Vidyadip

Question

Show that : $\sin ^{-1}\left(\frac{5}{13}\right)+\cos ^{-1}\left(\frac{3}{5}\right)=\tan ^{-1}\left(\frac{63}{16}\right)$

✓

Answer

coming soon

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 "Solve the Following Question.(3 Marks)" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Solve the following differential equations.

$\frac{\cos ^2 y}{x} d y+\frac{\cos ^2 x}{y} d x=0$

Without using the derivative, show that the function f(x) = |x| is

Strictly increasing in $(0,\infty)$
Strictly decreasing in $(-\infty,0)$

ABCD is a parallelogram and P is the point of intersection of its diagonals. If O is the origin of reference, show that $\overrightarrow{\text{OA}}+\overrightarrow{\text{OB}}+\overrightarrow{\text{OC}}+\overrightarrow{\text{OD}}=4\ \overrightarrow{\text{OP}}$.

For each of the following differential equations, find the particular solution satisfying the given condition:

$\left(x-y^2 x\right) d x-\left(y+x^2 y\right) d y=0$, when $x=2, y=0$

Find the distance of the point $4 \hat{i}-3 \hat{j}+\hat{k}$ from the plane $\bar{r} \cdot(2 \hat{i}+3 \hat{j}-6 \hat{k})=21$.

For the following differntial equations verify that the accompanying function is a solution:

Differential equation	Function
$\text{x}+\text{y}\frac{\text{dy}}{\text{dx}}=0$	$\text{y}=\pm\sqrt{\text{a}^2-\text{x}^2}$

Evaluate the following integrals:
$\int\frac{\text{x}^2\text{dx}}{\text{x}^6-\text{a}^6}\text{dx}$

If $\text{y}=\text{ax}^{\text{n+1}}+\text{bx}^{-\text{n}}$ and $\text{x}^2\frac{\text{d}^2\text{y}}{\text{dx}^2}=\lambda\text{y}$ then write the value of $\lambda$

If $\text{x}=3\sin\text{t}-\sin3\text{t},\text{y}=3\cos3\text{t}-\cos3\text{t}$ find $\frac{\text{dy}}{\text{dx}}\text{ at t}=\frac{\pi}{3}$

The population of a town increasing at a rate proportional to the population at that time. If the population increases from 40 thousands to 60 thousands in 40 years, what will be the population in another 20 years.
$\text { (Given } \sqrt{\frac{3}{2}}=1 \cdot 2247 \text { ). }$