Question #7edd2

1 Answer
May 3, 2017

tanxsinx

Explanation:

secx - sinxcotx

= 1/cosx - sinx(1/tanx) color(red)(Note tanx = sinx/ cos x)

=1/cos x - sin x (cos x/sin x)

=1/cos x - cos x

=1/cos x - cos^2 x / cos x

= (1-cos^2 x) / cos x

=sin^2 x / cos x (Trig Identities - color(red)(cos^2x + sin^2 x =1)

=tanxsinx Note (color(red)(sinx/cosx=tanx)