Solve the following equation: ( ^ -1 x) = ( ^ -1 3 4 ). - Vidyadip

Question

Solve the following equation:$\cos(\tan^{-1}\text{x}) = \sin\bigg(\cot^{-1}\frac{3}{4}\bigg).$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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 "3 Marks Question" 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

Find the second-order derivatives of the function $e^{6x}\cos 3x$

Write the equation of a plane which is at a distance of $5\sqrt{3}$ units from origin and the normal to which is equally inclined to coordinate axes.

Find the volume of the parallelopiped whose coterminous edges are represented by the vectore:
$\vec{\text{a}}=\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}},\vec{\text{b}}=\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}},\vec{\text{c}}=\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}}$

Find gof and fog when $f : R \rightarrow R$ and $g : R \rightarrow R$ are defined by:
$f(x) = 2x + 3$ and $g(x) = x^2 + 5$

Test whether the following relations $R_3$ are:

Reflexive.
Symmetric.
Transitive.

$R_3$ on $R$ defined by $(\text{a, b})\in\text{R}_3\Leftrightarrow\ \text{a}^2-4\text{ab}+3\text{b}^2=0$

Evaluate the following definite integrals:
$\int_{\frac{\pi}{6}}^\limits{\frac{\pi}{4}}\text{cosec}\text{x}\text{ dx}$

Find matrices X and Y, if $2\text{X}-\text{Y}=\begin{bmatrix}6&-6&0\\-4&2&1\end{bmatrix}$ and $\text{X}+2\text{Y}=\begin{bmatrix}3&2&5\\-2&1&-7\end{bmatrix}$

Write the angle between the lines whose direction ratios are perportional to 1, -2, 1 and 4, 3, 2.

Examine the continuity of f, where f is defined by
$\text{f(x)}=\begin{cases} \sin{\text{x}- \cos\text{x}}, \text{if} \ \text{x}\neq0\\-1, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{if}\ \text{x} = 0\end{cases}$
Find the values of k so that the function f is continuous at the indicated point in Exercises 26 to 29.

O is the origin and A is (a, b, c).Find the direction cosines of the line OA and the equation of plane through A at right angle to OA.