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Popular >

y=1.5sin(2x+90)

Solution

y = 1.5 sin (2 x + 90)

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 1.5 \leq f (x) \leq 1.5

X Intercepts : (- 45 + 15 π + πn, 0), (\frac{29 π}{2} - 45 + πn, 0), Y Intercepts : (0, \frac{3}{2} sin (2 \cdot 0 + 90))

Asymptotes : None

Extreme Points : Minimum (\frac{- 180 + 59 π}{4} + πn, - 1.5), Maximum (\frac{- 180 + 61 π}{4} + πn, 1.5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1.5, 1.5]

Solution steps

Periodicity of

1.5 sin (2 x + 90) : π

Domain of

1.5 sin (2 x + 90) : - \infty < x < \infty

Range of

1.5 sin (2 x + 90) : - 1.5 \leq f (x) \leq 1.5

Axis interception points of

1.5 sin (2 x + 90) :

X Intercepts

: (- 45 + 15 π + πn, 0), (\frac{29 π}{2} - 45 + πn, 0),

Y Intercepts

: (0, \frac{3}{2} sin (2 \cdot 0 + 90))

Asymptotes of

1.5 sin (2 x + 90) :

None

Extreme Points of

1.5 sin (2 x + 90) :

Minimum

(\frac{- 180 + 59 π}{4} + πn, - 1.5),

Maximum

(\frac{- 180 + 61 π}{4} + πn, 1.5)

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Frequently Asked Questions (FAQ)

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