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Popular >

y=csc(t/2)

Solution

y = csc (\frac{t}{2})

Solution

Period : 4 π

Domain : 4 πn < t < 2 π + 4 πn or 2 π + 4 πn < t < 4 π + 4 πn

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

Intercepts : None

Asymptotes : Vertical t = 2 π + 4 πn, t = 4 πn

Extreme Points : Minimum (π + 4 πn, 1), Maximum (3 π + 4 πn, - 1)

+1

Solution steps

Periodicity of

csc (\frac{t}{2}) : 4 π

Domain of

csc (\frac{t}{2}) : 4 πn < t < 2 π + 4 πn or 2 π + 4 πn < t < 4 π + 4 πn

Range of

csc (\frac{t}{2}) : f (t) \leq - 1 or f (t) \geq 1

Axis interception points of

csc (\frac{t}{2}) :

None

Asymptotes of

csc (\frac{t}{2}) :

Vertical

: t = 2 π + 4 πn, t = 4 πn

Extreme Points of

csc (\frac{t}{2}) :

Minimum

(π + 4 πn, 1),

Maximum

(3 π + 4 πn, - 1)

Popular Examples

f(x)=(16x^2+5x+8)^5

f (x) = (16 x^{2} + 5 x + 8)^{5}

f(x)=(4x^2-x)/(x^2)

f (x) = \frac{4 x ^{2} - x}{x ^{2}}

f(x)=sqrt(x^2+6x+2)-sqrt(x^2-4x+1)

f (x) = x^{2} + 6 x + 2 - x^{2} - 4 x + 1

f(x)=x^3-6x^2+10x-8

f (x) = x^{3} - 6 x^{2} + 10 x - 8

f (t) = - 2 t + 5

Frequently Asked Questions (FAQ)

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