Question

15. If 2 tan A = 5, then secA COSA = ..

Answer 1

Step-by-step explanation:

Answer is in the pic.

Hope it will help you!

Answer 2

The value of $\sec A \cos A$ is equal to one (1).

Step-by-step explanation:

We have,

$2\tan A=5$

To find, the value of $\sec A \cos A$ = ?

∴ $2\tan A=5$

⇒ $\tan A=\dfrac{5}{2} =\dfrac{p}{b}$

Where, b = base and p = perpendicular

Using Pythagoras theorem,

Hypotenuse, $h=\sqrt{p^{2}+b^{2} }$

$=\sqrt{5^{2}+2^{2} } =\sqrt{29}$

∴ $\sec A=\dfrac{h}{b} =\dfrac{\sqrt{29}}{2}$ and

$\cos A=\dfrac{b}{h} =\dfrac{2}{\sqrt{29}}$

∴ $\sec A \cos A$ = $\dfrac{\sqrt{29}}{2}\times \dfrac{2}{\sqrt{29}}$

= 1

Thus, the value of $\sec A \cos A$ is equal to one (1).