Question

how do I solve 3 sec squared x=sec x?

Answer 1

\(\bf 3sec^2(x)=sec(x)\quad ?\)

Answer 2

\[
\begin{align}
3\sec^2x &= \sec x\\
3\sec^2x-\sec x&=0\\
\sec x(3\sec x-1)&=0\\
\sec x&=0& 3\sec x-1&=0
\end{align}
\]

Answer 3

you serious?

Answer 4

YOU CAN STILL APPLY ALGEBRAIC CONCEPTS?

Answer 5

hmmm....no

Answer 6

\(\bf 3sec(x)=1\implies sec(x)=\cfrac{1}{3}\implies \cfrac{1}{cos(x)}=\cfrac{1}{3}\implies 3 = cos(x)\)

Answer 7

but cosine cannot be greater than 1

Answer 8

right

Answer 9

so

Answer 10

sec x can only equal 0 then?

Answer 11

so EQUATION is false

Answer 12

but sec x=0?

Answer 13

both factors must be satisfied to get the given equation

Answer 14

one problem, is that ok?

Answer 15

one more problem, ok?

Answer 16

alright