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Popular >

f(x)=sin(5x)cos(3x)

Solution

f (x) = sin (5 x) cos (3 x)

Solution

Period : π

Domain : - \infty < x < \infty

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

Asymptotes : None

+1

Solution steps

Periodicity of

sin (5 x) cos (3 x) : π

Domain of

sin (5 x) cos (3 x) : - \infty < x < \infty

Axis interception points of

sin (5 x) cos (3 x) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

sin (5 x) cos (3 x) :

None

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