sin a 023 what is cos aSolutionGiven that sina 023 We need

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