Question

Rewrite sin(x)cos^2 (x)-sin(x) as an expression containing a single term.

Answer 1

factor, negate, identity, multiply

Answer 2

if we factor and negate as one step then thats fine too

Answer 3

can you explain it using the equation please?

Answer 4

Take commons for factor.

Answer 5

I'm sorry; I'm visual, so I need to see how to do it, if that's possible.

Answer 6

sinx?

Answer 7

you have\[ab^2-a\]factor out the -a

Answer 8

we factor the sinx?

Answer 9

-sin(x) yes

Answer 10

it may be simpler to follow it with less clutter tho
\[ab^2 - a~:~factor,~-a\]
\[-a(1-b^2)\]

Answer 11

now in terms of the trig used, 1-b^2 has an identity in terms of a

Answer 12

So I would replace cosx with its sin equivalent?

Answer 13

Yes.

Answer 14

cos^2 (x)= -sin^2(x)+1

so: -sinx(1-(-sin^2 (x)+1))

-sinx(1+sin^2 (x)+1)

-sinx(sin^2(x)+2)

now what do I do?

Answer 15

wait, is that the answer?

Answer 16

there is no +2, 1-1 = 0 not 2