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Popular >

x=sec^3(2t)

Solution

x = sec^{3} (2 t)

Solution

Period : π

Domain : πn \leq t < \frac{π}{4} + πn or \frac{π}{4} + πn < t < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < t < π + πn

Range : f (t) \leq - 1 or f (t) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Vertical t = \frac{3 π}{4} + πn, t = \frac{π}{4} + πn

Extreme Points : Minimum (πn, 1), Maximum (\frac{π}{2} + πn, - 1)

+1

Interval Notation

Domain : [πn, \frac{π}{4} + πn) \cup (\frac{π}{4} + πn, \frac{3 π}{4} + πn) \cup (\frac{3 π}{4} + πn, π + πn)

Range : (- \infty, - 1] \cup [1, \infty)

Solution steps

Periodicity of

sec^{3} (2 t) : π

Domain of

sec^{3} (2 t) : πn \leq t < \frac{π}{4} + πn or \frac{π}{4} + πn < t < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < t < π + πn

Range of

sec^{3} (2 t) : f (t) \leq - 1 or f (t) \geq 1

Axis interception points of

sec^{3} (2 t) :

Y Intercepts

: (0, 1)

Asymptotes of

sec^{3} (2 t) :

Vertical

: t = \frac{3 π}{4} + πn, t = \frac{π}{4} + πn

Extreme Points of

sec^{3} (2 t) :

Minimum

(πn, 1),

Maximum

(\frac{π}{2} + πn, - 1)

Popular Examples

p(x)=-4x^2+24x-32

p (x) = - 4 x^{2} + 24 x - 32

f(x)=sin(x^2+5x+7)

f (x) = sin (x^{2} + 5 x + 7)

simplify ((2/3)x+4)/3 simplify

\frac{( \frac{2}{3} ) x + 4}{3}

f(x)=x^3-3x^2+5x-7

f (x) = x^{3} - 3 x^{2} + 5 x - 7

p(1)=x^3-23x^2+142x-120

p (1) = x^{3} - 23 x^{2} + 142 x - 120

Frequently Asked Questions (FAQ)

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