sin (a) = 0.23 what is cos (a)

Given that sin(a) = 0.23

We
need to find the value of cos(a)

We can use two different
methods.

First, using the calculator we will find the value
of angle a.

==> a= arcsin 0.23 = 13.2971
degree

Now we will find the cos (a) = cos(
13.2971)

==> cos a =+-
0.9732

Method (2)

We use the
identity sin^2 x+ cos^2 x = 1

==> cosa = +-sqrt( 1-
0.23^2) = +-0.9732

Then the value of cos a=
+- 0.9732