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Popular >

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

Solution

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

Solution

Period : 2 π

Domain : 2 πn \leq y < π + 2 πn or π + 2 πn < y < 2 π + 2 πn

X Intercepts : (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical y = π + 2 πn

Inflection Points : (2 πn, 0)

+1

Interval Notation

Domain : [2 πn, π + 2 πn) \cup (π + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

\frac{sin ( y )}{1 + cos ( y )} : 2 π

Domain of

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

Axis interception points of

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

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: y = π + 2 πn

Inflection Points of

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

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f (x) = \frac{x}{2} + cos (x)

Frequently Asked Questions (FAQ)

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