Download App

Inverse Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions2 Marks
Question
Evaluate the following:
$\cot^{-1}\Big(\cot\frac{19\pi}{6}\Big)$
✓

Answer

$\cot^{-1}\Big(\cot\frac{19\pi}{6}\Big)$
$=\cot^{-1}\Big[\cot\Big(3\pi+\frac{\pi}{6}\Big)\Big]$
$=\cot^{-1}\Big(\cot\frac{\pi}{6}\Big)$
$=\frac{\pi}{6}$

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.(2 Marks)" from Inverse Trigonometric Functions→Inverse 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

Find an angle $\theta$
Whose rate of increase twice is twice the rate of decrease of its cosine.
→
If $\vec{\text{a}}.\vec{\text{a}}=0$ and $\vec{\text{a}}.\vec{\text{b}}=0,$ what can you conclude about the vector $\vec{\text{b}}$?
→
$\int \sqrt{4^x\left(4^x+4\right)} d x$
→
The negation of $p \wedge(q \rightarrow r)$ is :
→
The edge of a cube is decreasing at the rate of 0.6 cm/sec. Find the rate at which its volume is decreasing, when the edge of the cube is 2 cm.
→
Differentiate the following w.r.t. x :

$\frac{3}{5 \sqrt[3]{\left(2 x^2-7 x-5\right)^5}}$

→
Let $R_0$ denote the set of all non-zero real numbers and let $A=R_0 \times R_0$.
If ' $k$ ' is a binary operation on adefined by, $(a, b)^*(c, d)=(a c, b d)$ for all $(a, b),(c, d) \in A$
Find the identity element in A
→
Let $\text{f}:\text{R}-\Big\{-\frac{3}{5}\Big\}\rightarrow\ \text{R}$ be a function defined as $\text{f(x)}=\frac{2\text{x}}{5\text{x}+3}.$ Write $f^{-1}$​​​​​​​: Range of $\text{f}\rightarrow\ \text{R}-\Big\{-\frac{3}{5}\Big\}.$
→
Evaluate the following integrals:$\int\limits^{2}_1\log_\text{e}[\text{x}]\text{dx}$
→
Evaluate the following:

$\int \sec ^3 x d x$

→