Question

State whether the following statement is true or false. Justify your answer.
$\sec A$ = $\frac{12}{5}$ for some value of angle A.

• A. True
• B. False

Answer 1

The correct option is A True

The statement is True.

Given, $\sec A=\frac{12}{5}$ for some value of $\angle A$

We have,

$\sec \theta =\frac{Hypotenuse}{SideAdjacentto\theta }$

In a right angled triangle, hypotenuse is the greatest side.

$=>\sec \theta >1$

Here, $\sec \theta =\frac{12}{5}$ $i.e.,>1$

$\therefore \sec A=\frac{12}{5}$ for some value of $\angle A$ is $True$