if sinx = 3/5 calculate cosx , tan, x and secx

sinx = 3/5

We know
that:

sin^2 x + cos^2 x =
1

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

                 = sqrt(1-
9/25)

                  = sqrt(
16/25)

                   =
4/5

==> cosx =
4/5

Now we know
that:

tanx = sinx/cosx = (3/5) / (4/5) =
3/4

==> tanx =
3/4

secx = 1/cosx = 1/(4/5) =
5/4

==> secx =
5/4