Find the values of sinx, tanx, secx, and cscx if cosx = 0.23

Given cos(x) = 0.23

We need
to find sin(x), tan(x) , sec(x), and (csc(x).

First, we
know that sec(x) = 1/cos(x).

==> sec(x) = 1/(0.23) =
4.3478.

==> sec(x) =
4.3478.

Now we will use the trigonometric
identities to find sin(x).

We know
that:

sin^2 x + cos^2 x =
1

==> sin(x) =
sqrt(1-cos^2x)

                =
sqrt(1-0.23^2)

                =
sqrt(0.9471)

                 =
0.9732

==> sin(x) =
0.9732.

Now we know that csc(x) =
1/sin(x)

==> csc(x) = 1/(0.9732) =
1.0275

==> csc(x) =
1.0275

Now we know that tan(x) = sin(x)/
cos(x).

==> tan(x) = 0.9732/ 0.23 =
4.2313

==> tan(x) =
4.2313