Question

Factor the algebraic expression below in terms of a single trigonometric function.

csc^2x - 1

its supposd to be in two bionmials. But how?

Answer 1

probably not because the answer isnt cot^2x

Answer 2

so you got cot^2 x answer !

Answer 3

yeah but its not right

Answer 4

how do u know ?

Answer 5

my teacher said so

Answer 6

cot^2x

because- if you put csc^2x-1 in terms of sin and cos, you get...

1/(sin^2x)−1

continue putting the numerator in terms of sin and cos...

=(sin^2x+cos^2x)/(sin^2x)−1

=1+(cos^2x)/(sin^2x)−1

The ones cancel out leaving...

cos^2x/sin^2x which simplifies to...

cot^2x
ESSAY FEEDBACK

Hi Amanda, You need to factor these into 2 binomials.

Answer 7

okay here's the hint the question says two binomials !

Answer 8

I know :/ I dont get it

Answer 9

and again it says single trigonometric function !

Answer 10

... cosx/sinx?

Answer 11

add a two in front ov each x

Answer 12

nope !

Answer 13

:/

Answer 14

you'll get cos^2x/ sin^2x

Answer 15

thats what i said...thats not right?

Answer 16

which is binomial but still single and are two !

Answer 17

huh?

Answer 18

ur question says one trigonometric function but having two binomial terms

Answer 19

I dont see how to do it then :/

Answer 20

there's nothing to do !

Answer 21

you already got the answer !

Answer 22

b..b...but?

Answer 23

it said it was wrong

Answer 24

\[\cos^2x/ \sin^2x \]

Answer 25

oh...so I just had to break it down more?

Answer 26

yah!

Answer 27

so you got it !

Answer 28

Thanks a heap

Answer 29

ur welcome