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Popular >

y=(((1+cot(x)))/(sec(x)))

Solution

y = (\frac{( 1 + cot ( x ) )}{sec ( x )})

Solution

Period : 2 π

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

X Intercepts : (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0)

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

+1

Interval Notation

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

Solution steps

Periodicity of

\frac{1 + cot ( x )}{sec ( x )} : 2 π

Domain of

\frac{1 + cot ( x )}{sec ( x )} : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Axis interception points of

\frac{1 + cot ( x )}{sec ( x )} :

X Intercepts

: (\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0)

Asymptotes of

\frac{1 + cot ( x )}{sec ( x )} :

Vertical

: x = 2 πn, x = π + 2 πn

Popular Examples

f(x)=3x^2-2x-10

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f (x) = 9 x + 4

f (x) = 2 - 2 x

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

f(x)=(-5x+10)/(2x^2-8)

f (x) = \frac{- 5 x + 10}{2 x ^{2} - 8}

Frequently Asked Questions (FAQ)

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