Question

if sin A = 5/13 find cos A​

Answer 1

Answer:

Step-by-step explanation:

cos a  12/13

Answer 2

The value of $\cos A$ = $\dfrac{12}{13}$

Step-by-step explanation:

We have,

$sin A$ = $\dfrac{5}{13}$

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

∴ $sin A$ = $\dfrac{5}{13}$

We know that,

$\sin A=\dfrac{p}{h}$

Where, p = perpendicular and h = hypotaneous

To find, base, (b) = ?

By Pythagoras theorem,

$b=\sqrt{h^2-p^2}$

$b=\sqrt{13^2-5^2} =\sqrt{169-25}$

= $\sqrt{144}=12$

∴ Base, (b) = 12

∴ $\cos A$ = $\dfrac{b}{h}$

= $\dfrac{12}{13}$

∴ The value of $\cos A$ = $\dfrac{12}{13}$