Question

if value of sin a =1/2 then find the value of cos a ​

Answer 1

Answer:

Hey there!

The value of cos a is: √3 /2

Step-by-step explanation:

Given : sin a = 1/2

To find : cos a

Previous knowledge:

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

Solution:

Using,

$sin^{2} a + cos^{2} a = 1\\=> (1/2 )^{2} + cos^{2}a = 1\\=> 1/4 + cos^{2}a =1\\=> cos^{2}a =1 - 1/4\\=>cos^{2}a = 4-1/4\\=>cos^{2}a = 3/4\\=> cos a = \sqrt{3/4} \\=> cos a = \sqrt{3}/2$

Therefore, cos a = √3 /2

Thanks!