Question

Is it true secA= 12/5 for some value of angle A. Why

Answer 1

Given:

secA= 12/5

To find:

Is it true secA= 12/5 for some value of angle A. Why

Solution:

From given, we have,

sec A =  12/5

we know the trigonometric relation:

sec = hypotenuse / adjacent side

sec A > 1

as   h = 12 and a = 5

In a right-angled triangle, the hypotenuse is always greater than the base.

Therefore, the given statement is correct for some angle A.  

Answer 2

Step-by-step explanation:

Given that: Is it true secA= 12/5 for some value of angle A.

To find: Justification to answer

Solution: We know that,Trigonometry ratios are calculated for right angle triangle,With ratio of sides

$sec \: A = \frac{Hypotenuse}{Base}$

For any right triangle,hypotenuse is the longest side.

So,ratio of hypotenuse to base is always greater than one.

Here,given that

$sec \: A = \frac{12}{5} \\ \\sec \: A = 2.4$

It is true,

The value of sec A will always be greater than one.

The reason is explained in detail.

Hope it helps you.