What is the y=((1+cos^2(x)))/((3-2sin^2(x))) ?

The y=((1+cos^2(x)))/((3-2sin^2(x))) is

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y=((1+cos^2(x)))/((3-2sin^2(x)))

y = \frac{( 1 + cos ^{2} ( x ) )}{( 3 - 2 sin ^{2} ( x ) )}

Period : π

Domain : - \infty < x < \infty

Range : \frac{2}{3} \leq f (x) \leq 1

Y Intercepts : (0, \frac{2}{3})

Asymptotes : None

Extreme Points : Minimum (πn, \frac{2}{3}), Maximum (\frac{π}{2} + πn, 1)

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{2}{3}, 1]

Solution steps

Periodicity of

\frac{1 + cos ^{2} ( x )}{3 - 2 sin ^{2} ( x )} : π

Domain of

\frac{1 + cos ^{2} ( x )}{3 - 2 sin ^{2} ( x )} : - \infty < x < \infty

Range of

\frac{1 + cos ^{2} ( x )}{3 - 2 sin ^{2} ( x )} : \frac{2}{3} \leq f (x) \leq 1

Axis interception points of

\frac{1 + cos ^{2} ( x )}{3 - 2 sin ^{2} ( x )} :

Y Intercepts

: (0, \frac{2}{3})

Asymptotes of

\frac{1 + cos ^{2} ( x )}{3 - 2 sin ^{2} ( x )} :

None

Extreme Points of

\frac{1 + cos ^{2} ( x )}{3 - 2 sin ^{2} ( x )} :

Minimum

(πn, \frac{2}{3}),

Maximum

(\frac{π}{2} + πn, 1)

What is the y=((1+cos^2(x)))/((3-2sin^2(x))) ?
The y=((1+cos^2(x)))/((3-2sin^2(x))) is