Question

if sin a=0.4 find possible values of cos a

Answer 1

Answer:

0.92

Step-by-step explanation:

Given that,

Sin a = 0.4

Now, to find the value of Cos a.

We know that,

${ \sin }^{2} a + { \cos }^{2} a = 1$

Further simplifying, we get,

$= > { \sin }^{2} a = 1 - { \cos }^{2} a \\ \\ = > \sin(a) = \sqrt{1 - { \cos}^{2} a}$

Substitute the respective values, we get,

$= > \sin(a) = \sqrt{1 - {(0.4)}^{2} } \\ \\ = > \sin(a) = \sqrt{1 - 0.16} \\ \\ = > \sin(a) = \sqrt{0.84} \\ \\ = > \sin(a) = 0.92$

Hence, required value is 0.92