Which of the following is an identity? A. Cosx(2sinx+1) = 0 B. sin^2 x = 4 - 2cos^2 x C. (tanx + cotx)(sinx cosx) = 1 D. secx tanx - cosx cotx = sinx
\[\tan(x) =\frac{ \sin(x) }{ \cos(x) } \]
\[\cot(x) = \frac{ \cos(x) }{ \sin(x)}\]
what are you doing ._.
\[(\frac{ \sin(x) }{ \cos(x) } + \frac{ \cos(x) }{ \sin(x) })(\sin(x)\cos(x))=1\]
????? is that the answer or what
\[= \sin^2(x) + \cos^2(x)\]
if you aren't ging to explain stop talking seriously...its to late for somone to do that.
to solve this problem you need to know trig identities, so have them handy or memorized.
an identity is an equation that is the same no matter what value u put in.
what I did was I looked at each of the answers and manipulated them to see if I could make them look like one of the trig identities, so change tan(x) to sin(x)/cos(x) or change sec(x) to 1/cos(x) etc
so I did this and found that i could manipulate answer c to look like this \[\sin^2(x) + \cos^2(x) = 1\]
which is a trig identity
so to solve this problem you need to play around with each answer until you see a trig identity
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