Question

Simplify the expression.

cos^2 x + sin^2 x/cot^2 x - csc^2 x

Answer 1

Do you mean this :

\[frac{cos^2( x) + sin^2 (x)}{cot^2 (x) - cosec^2 (x)}\]

Answer 2

No. I mean this: \[ \frac{ \cos ^{2} x + \sin ^{2} x}{ \cot ^{2} x - \csc ^{2} x }\]

Answer 3

@waterineyes

Answer 4

I am seeing Math Processing Error.. Just wait I am refreshing my page so that Latex can upload properly..

Answer 5

Okay :)

Answer 6

Yeah I was almost there.. :)

Answer 7

Do you know about Trigonometric Identities??

Answer 8

Kind of

Answer 9

I mean you must remember these:

\[1. \quad \sin^2(x) + \cos^2(x) = 1\]
\[2. \quad 1 + \tan^2(x) = \sec^2(x)\]
\[3. \quad 1 + \cot^2(x) = cosec^2(x)\]

Answer 10

Remember??

Answer 11

Sooo it'd be 1?

Answer 12

No wait, would it be -1 because I'm dividing?

Answer 13

@waterineyes

Answer 14

Numerator will give you 1 but denominator will give you -1.. So 1 divided by -1 will be how much??

Answer 15

-1

Answer 16

@waterineyes

Answer 17

Excellent... :)

Answer 18

Thanks

Answer 19

Welcome dear..