CAn someone explain how you get from:
sinx cosx^2 - sinx to sinx (cos^2x-1) to -sinx (1-cos^2x) to -sinx( sin^2x) to -sin^3x
and help me with factoring this equation:
sec^3x-sec^2x-secx+1
Thank you in advance
sin x was factored out of the expression just as you would if you had something like
(-1 was factored out of the bracketed expression)
Recall that:
Substituting it in, we get:
since
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Focusing on the red, let's factor out and for the blue, let's factor out -1:
Factor out (sec x - 1):
And hopefully the expression in purple reminds you of a certain identity.