How do you prove #sin theta sec theta- tan theta#?

1 Answer
Alan P.
Jun 5, 2015

Assuming the minus sign should be an equal sign, so the question is to prove:
#color(white)("XXXX")##sin(theta)sec(theta) = tan(theta)#

#sec(theta) = 1/cos(theta)##color(white)("XXXX")#(basic definition)

#sin(theta) * sec(theta)#
#color(white)("XXXX")## = sin(theta) * 1/cos(theta)#

#color(white)("XXXX")## = sin(theta)/cos(theta)#

#color(white)("XXXX")## = tan(theta)#

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