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Popular >

y=(cos^2(x))/(sin(x))

Solution

y = \frac{cos ^{2} ( x )}{sin ( x )}

Solution

Period : 2 π

Domain : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Asymptotes : Vertical x = 2 πn, x = π + 2 πn

Extreme Points : Minimum (\frac{π}{2} + 2 πn, 0), Maximum (\frac{3 π}{2} + 2 πn, 0)

+1

Solution steps

Periodicity of

\frac{cos ^{2} ( x )}{sin ( x )} : 2 π

Domain of

\frac{cos ^{2} ( x )}{sin ( x )} : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

\frac{cos ^{2} ( x )}{sin ( x )} : - \infty < f (x) < \infty

Axis interception points of

\frac{cos ^{2} ( x )}{sin ( x )} :

X Intercepts

: (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Asymptotes of

\frac{cos ^{2} ( x )}{sin ( x )} :

Vertical

: x = 2 πn, x = π + 2 πn

Extreme Points of

\frac{cos ^{2} ( x )}{sin ( x )} :

Minimum

(\frac{π}{2} + 2 πn, 0),

Maximum

(\frac{3 π}{2} + 2 πn, 0)

Popular Examples

y = \frac{- 5}{4 x ^{3}}

y=((sin(x)))/((1+tan(x)))

y = \frac{( sin ( x ) )}{( 1 + tan ( x ) )}

f(x)=((2x))/((5-x))

f (x) = \frac{( 2 x )}{( 5 - x )}

f (t) = sin (t + 1)

y=(x+2)(3x^2-5)

y = (x + 2) (3 x^{2} - 5)

Frequently Asked Questions (FAQ)

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