PreCalculus
posted by Corin .
How do you verify:
1.) sinxcosx+sinx^3secx=tanx
2.) (secx+tanx)/(secxtan)=(secx+tanx)^2
I tried starting from the left on both problems, but am stuck.
like I said before, change everything into sines and cosines.
for the first one:
LS= sinxcosx + (sin^3x)cosx
=(sinxcos^2x + sin^3x)/cosx
=
=
factor out the sinx, and look what you have left inside the bracket!
two more steps!
the second one is just as easy.
LS = (1/cosx + sinx/cosx)(1/cosx  sinx/cosx)
=
=
can you see the common factor, and the difference of squares pattern?
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