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

Expert Answers

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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

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