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Popular >

s(t)=3cos(t)+2sin(t)

Solution

s (t) = 3 cos (t) + 2 sin (t)

Solution

Period : 2 π

Domain : - \infty < t < \infty

Range : - 13 \leq f (t) \leq 13

X Intercepts : (- arctan (\frac{3}{2}) + π + 2 πn, 0), (- arctan (\frac{3}{2}) + 2 π + 2 πn, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (arctan (\frac{2}{3}) + 2 πn, 13), Minimum (arctan (\frac{2}{3}) + π + 2 πn, - 13)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 13, 13]

Solution steps

Periodicity of

3 cos (t) + 2 sin (t) : 2 π

Domain of

3 cos (t) + 2 sin (t) : - \infty < t < \infty

Range of

3 cos (t) + 2 sin (t) : - 13 \leq f (t) \leq 13

Axis interception points of

3 cos (t) + 2 sin (t) :

X Intercepts

: (- arctan (\frac{3}{2}) + π + 2 πn, 0), (- arctan (\frac{3}{2}) + 2 π + 2 πn, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 cos (t) + 2 sin (t) :

None

Extreme Points of

3 cos (t) + 2 sin (t) :

Maximum

(arctan (\frac{2}{3}) + 2 πn, 13),

Minimum

(arctan (\frac{2}{3}) + π + 2 πn, - 13)

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Frequently Asked Questions (FAQ)

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