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Popular >

f(x)=14sin(12x)sin(8x)

Solution

f (x) = 14 sin (12 x) sin (8 x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

X Intercepts : (\frac{πn}{2}, 0), (\frac{π}{6} + \frac{πn}{2}, 0), (\frac{π}{3} + \frac{πn}{2}, 0), (\frac{π}{12} + \frac{πn}{2}, 0), (\frac{π}{4} + \frac{πn}{2}, 0), (\frac{5 π}{12} + \frac{πn}{2}, 0), (\frac{π}{8} + \frac{πn}{2}, 0), (\frac{3 π}{8} + \frac{πn}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

14 sin (12 x) sin (8 x) : \frac{π}{2}

Domain of

14 sin (12 x) sin (8 x) : - \infty < x < \infty

Axis interception points of

14 sin (12 x) sin (8 x) :

X Intercepts

: (\frac{πn}{2}, 0), (\frac{π}{6} + \frac{πn}{2}, 0), (\frac{π}{3} + \frac{πn}{2}, 0), (\frac{π}{12} + \frac{πn}{2}, 0), (\frac{π}{4} + \frac{πn}{2}, 0), (\frac{5 π}{12} + \frac{πn}{2}, 0), (\frac{π}{8} + \frac{πn}{2}, 0), (\frac{3 π}{8} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

14 sin (12 x) sin (8 x) :

None

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Frequently Asked Questions (FAQ)

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