Question

cotA is the product of cot and A. Enter 1 for true and 0 for false.

Answer 1

Hint: Every trigonometric ratio defines a specific lengths ratio wrt an angle in the right-angle triangle. It is also a ratio of two sides in the right-angle triangle.

Complete step-by-step solution -
In general cot in any right-angle triangle is the ratio of adjacent and opposite.
If we have the right-angle triangle ABC as below in which the right angle at B. So AC is the hypotenuse , for angle A, BC is opposite and AB is adjacent.

So we can write
$\cot A=\dfrac{AB}{BC}$
So we can clearly say cotA is not a product of cot and A.
Hence we will enter 0 as the given statement is false.

Note: cotA is also known as cotangent. It is also defined as $\cot A=\dfrac{1}{\tan A}$. Cot is a trigonometric ratio that is related to the ratio of two sides $\dfrac{\text{Adjacent side}}{\text{Opposite side}} $ of the right angle triangle for angle A, without A cot does not have any meaning.