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**