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Popular >

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

Solution

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

Solution

Period : π

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

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

X Intercepts : (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 1)

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Periodicity of

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

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

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

None

Popular Examples

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

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y = (x - 4)^{2} (x + 2)

y=sqrt((1-cx)/(1+cx))

y = \frac{1 - c x}{1 + c x}

f (m) = m^{2} - 5 m + 6

Frequently Asked Questions (FAQ)

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