Question

Simplify the expression
csc^2x sec^2x/ sec^2 x + csc^2 x

Answer 1

This?\[ \large
\frac{\csc^2(x) \sec^2(x)}{\sec^2(x)} + \csc^2(x)
\]

Answer 2

csc^2 is in the denominator with sec^2

Answer 3

\[\Large \frac{ \csc^2x \sec^2x }{ \sec^2x + \csc^2 x }\]

Answer 4

Yes thats it

Answer 5

what basic identity can you remember that may help you simplify this problem?

Answer 6

reciprocal identity

Answer 7

sub them in the problem.

Answer 8

Im not really sure how to, can you please explain it?

Answer 9

\[
\sec^2(x) = \frac{1}{\cos^2(x)}
\]So how about multiplying top and bottom bye \(\cos^2(x)\).

Answer 10

\[\Huge \frac{ \frac{ 1 }{ \sin^2x }\frac{ 1 }{ \cos^2x } }{ \frac{ 1 }{ \cos^2 x }+\frac{ 1 }{ \sin^2x } }\]

Answer 11

if you are familiar with @wio 's method, you can multiply both sides of the fraction by \[\Large \sin^2x \cos^2x\]

Answer 12

I am not can you explain it?

Answer 13

\[\frac{ \csc^2x \sec^2x }{ \sec^2x + \csc^2x }\cdot \frac{ \sin^2x \cos^2x }{ \sin^2x \cos^2 x }\]

Answer 14

multiply the numerators, multiply the denominators