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Popular >

f(x)=(sin(x)-1)/(cos(x)+1)

Solution

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

Solution

Period : 2 π

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

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

Asymptotes : Vertical x = π + 2 πn

+1

Interval Notation

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

Solution steps

Periodicity of

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

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{π}{2} + 2 πn, 0),

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

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

Vertical

: x = π + 2 πn

Popular Examples

f (x) = - 5 + 2 x

y = 1 - sin (x)

f(x)=-x^2+20x+100

f (x) = - x^{2} + 20 x + 100

f(x)=3x^4-10x^3-12x^2+10x+9

f (x) = 3 x^{4} - 10 x^{3} - 12 x^{2} + 10 x + 9

y = - 3 x^{2} + 12 x - 33

Frequently Asked Questions (FAQ)

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