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secx = 1/cosx

and 1/cotx = tanx, therefore

1/cosx + tanx = 1 + sinx/cosx, and

sin/cos = tanx, therefore

1/cosx + tanx = 1 + tanx, therefore

1/cosx = 1, therfore

1 = cosx.

So, therfore, it is not neccesarily true.

But if you mean

secx plus 1 divided by cotx equals (1 plus sinx) divided by cosx(this is probably what you mean) Let's start over!

secx = 1/cosx

and 1/cotx = tanx, therefore

1/cosx + tanx = (1+sinx)/cosx therefore

1/cosx + tanx = 1/cosx + sinx/cosx

sinx/cosx = tanx therfore

1/cosx + tanx = 1/cosx + tanx

Do you think this is correct? Subtract both sides by 1/cosx + tanx:

0 = 0

So, therefore, this is correct!

(BTW, I'm in Grade 6! :P)

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