State whether the following are true or false. Justify your answer.
$ \cot A $ is the product of $ \cot $ and $ A $.
Given:
Given statement is:
\( \cot A \) is the product of \( \cot \) and \( A \).
To do:
We have to state whether the given statement is true or false.
Solution:
$\cot\ A =\frac{side\ adjacent\ to\ A}{side\ opposite\ to\ A}$
$=\frac{AB}{BC}$
$cot\ A$ is a single term. It is not a product of cot and A.
The given statement is false.
Related Articles
- State whether the following are true or false. Justify your answer.\( \cos A \) is the abbreviation used for the cosecant of angle \( A . \)
- Write 'True' or 'False' and justify your answer in each of the following:\( \frac{\tan 47^{\circ}}{\cot 43^{\circ}}=1 \)
- State whether the following are true or false. Justify your answer.\( \sec A=\frac{12}{5} \) for some value of angle \( A \).
- State whether the following are true or false. Justify your answer.The value of tan \( A \) is always less than 1 .
- State whether the following are true or false. Justify your answer.\( \sin \theta=\frac{4}{3} \) for some angle \( \theta \).
- State whether the following statements are true or false. Justify your answer.The points \( (0,5),(0,-9) \) and \( (3,6) \) are collinear.
- State whether the following statements are true or false. Justify your answer.(i) The value of $tan\ A$ is always less than 1.(ii) $sec\ A = \frac{12}{5}$ for some value of angle A.(iii) $cos\ A$ is the abbreviation used for the cosecant of angle A.(iv) $cot\ A$ is the product of cot and A.(v) $sin\ θ = \frac{4}{3}$ for some angle.
- “The product of three consecutive positive integers is divisible by 6”. Is this statement true or false? Justify your answer.
- State whether the following statement is true or false :Milk is a pure substance.
- State whether the following statements are true or false. Justify your answer.Point \( P(-4,2) \) lies on the line segment joining the points \( A(-4,6) \) and \( B(-4,-6) \).
- Write whether the following statements are true or false. Justify your answers.Every quadratic equation has exactly one root.
- State whether the following statements are true or false. Justify your answer.Points \( \mathrm{A}(3,1), \mathrm{B}(12,-2) \) and \( \mathrm{C}(0,2) \) cannot be the vertices of a triangle.
- State whether the following statements are true or false. Justify your answer.The point P $(–2, 4)$ lies on a circle of radius 6 and centre $C (3, 5)$.
- State whether the following statements are true or false. Justify your answer.Points \( \mathrm{A}(4,3), \mathrm{B}(6,4), \mathrm{C}(5,-6) \) and \( \mathrm{D}(-3,5) \) are the vertices of a parallelogram.
- State whether the following statements are true or false. Justify your answer.Points \( A(-6,10), B(-4,6) \) and \( C(3,-8) \) are collinear such that \( A B=\frac{2}{9} A C \).
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies