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Popular >

f(x)=8.06sin(x-29.74)

Solution

f (x) = 8.06 sin (x - 29.7 4^{\circ})

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 8.06 \leq f (x) \leq 8.06

X Intercepts : (0.51906 \dots + 6.28318 \dots n, 0), (π + 0.51906 \dots + 6.28318 \dots n, 0), Y Intercepts : (0, \frac{403}{50} sin (0 - \frac{\frac{1487}{50} π}{180}))

Asymptotes : None

Extreme Points : Maximum (- 1.05173 \dots + π + 2 πn, 8.06), Minimum (5.23144 \dots + 2 πn, - 8.06)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8.06, 8.06]

Solution steps

Convert

29.74

degrees to radians:

\frac{29.74 π}{180}

8.06 sin (x - \frac{29.74 π}{180})

Periodicity of

8.06 sin (x - \frac{29.74 π}{180}) : 2 π

Domain of

8.06 sin (x - \frac{29.74 π}{180}) : - \infty < x < \infty

Range of

8.06 sin (x - \frac{29.74 π}{180}) : - 8.06 \leq f (x) \leq 8.06

Axis interception points of

8.06 sin (x - \frac{29.74 π}{180}) :

X Intercepts

: (0.51906 \dots + 6.28318 \dots n, 0), (π + 0.51906 \dots + 6.28318 \dots n, 0),

Y Intercepts

: (0, \frac{403}{50} sin (0 - \frac{\frac{1487}{50} π}{180}))

Asymptotes of

8.06 sin (x - \frac{29.74 π}{180}) :

None

Extreme Points of

8.06 sin (x - \frac{29.74 π}{180}) :

Maximum

(- 1.05173 \dots + π + 2 πn, 8.06),

Minimum

(5.23144 \dots + 2 πn, - 8.06)

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Frequently Asked Questions (FAQ)

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