Question #7edd2

1 Answer
John C.
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#)

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