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Popular >

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

Solution

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

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

X Intercepts : (\frac{π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn

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

+1

Interval Notation

Domain : [2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

\frac{cos ( x )}{1 + sin ( x )} : 2 π

Domain of

\frac{cos ( x )}{1 + sin ( x )} : 2 πn \leq x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Axis interception points of

\frac{cos ( x )}{1 + sin ( x )} :

X Intercepts

: (\frac{π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{cos ( x )}{1 + sin ( x )} :

Vertical

: x = \frac{3 π}{2} + 2 πn

Inflection Points of

\frac{cos ( x )}{1 + sin ( x )} : (\frac{π}{2} + 2 πn, 0)

Popular Examples

y = (19 x)^{3}

f (x) = x^{5} + 7 x + 1

f(x)=(x+2)^2-64

f (x) = (x + 2)^{2} - 64

f(x)=((x^3-25x^2+40x+5))/5

f (x) = \frac{( x ^{3} - 25 x ^{2} + 40 x + 5 )}{5}

y=log_{10}(((x-5))/((x+2)))

y = lo g_{10} (\frac{( x - 5 )}{( x + 2 )})

Frequently Asked Questions (FAQ)

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