cos^3t

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f(t)=cos³(t)

Solution

Period: 2π

Domain: −∞ <t<∞

Range: −1≤ f(t)≤ 1

X Intercepts: (π2 +2πn, 0), (3π2 +2πn, 0), Y Intercepts: (0, 1)

Asymptotes: None

Extreme Points: Maximum(2πn, 1), Saddle(π2 +2πn, 0), Minimum(π+2πn, −1), Saddle(3π2 +2πn, 0)

Interval Notation

Domain: (−∞ , ∞ )

Range: [−1, 1]

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Periodicity of cos³(t): 2π

Domain of cos³(t) : −∞ <t<∞

Range of cos³(t): −1≤ f(t)≤ 1

Axis interception points of cos³(t): X Intercepts: (π2 +2πn, 0), (3π2 +2πn, 0), Y Intercepts: (0, 1)

Asymptotes of cos³(t): None

Extreme Points of cos³(t): Maximum(2πn, 1), Saddle(π2 +2πn, 0), Minimum(π+2πn, −1), Saddle(3π2 +2πn, 0)

Solve instead

ddt (cos³(t))

∫ cos³(t)dt

inverse cos³(t)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

cos^3t

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