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Popular >

f(x)=2sin(5x)cos(4x)-sin(x)

Solution

f (x) = 2 sin (5 x) cos (4 x) - sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

X Intercepts : (2 πn, 0), (\frac{2 π}{9} + 2 πn, 0), (\frac{4 π}{9} + 2 πn, 0), (\frac{2 π}{3} + 2 πn, 0), (\frac{8 π}{9} + 2 πn, 0), (\frac{10 π}{9} + 2 πn, 0), (\frac{4 π}{3} + 2 πn, 0), (\frac{14 π}{9} + 2 πn, 0), (\frac{16 π}{9} + 2 πn, 0), (\frac{π}{9} + 2 πn, 0), (\frac{π}{3} + 2 πn, 0), (\frac{5 π}{9} + 2 πn, 0), (\frac{7 π}{9} + 2 πn, 0), (π + 2 πn, 0), (\frac{11 π}{9} + 2 πn, 0), (\frac{13 π}{9} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0), (\frac{17 π}{9} + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

2 sin (5 x) cos (4 x) - sin (x) : 2 π

Domain of

2 sin (5 x) cos (4 x) - sin (x) : - \infty < x < \infty

Axis interception points of

2 sin (5 x) cos (4 x) - sin (x) :

X Intercepts

: (2 πn, 0), (\frac{2 π}{9} + 2 πn, 0), (\frac{4 π}{9} + 2 πn, 0), (\frac{2 π}{3} + 2 πn, 0), (\frac{8 π}{9} + 2 πn, 0), (\frac{10 π}{9} + 2 πn, 0), (\frac{4 π}{3} + 2 πn, 0), (\frac{14 π}{9} + 2 πn, 0), (\frac{16 π}{9} + 2 πn, 0), (\frac{π}{9} + 2 πn, 0), (\frac{π}{3} + 2 πn, 0), (\frac{5 π}{9} + 2 πn, 0), (\frac{7 π}{9} + 2 πn, 0), (π + 2 πn, 0), (\frac{11 π}{9} + 2 πn, 0), (\frac{13 π}{9} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0), (\frac{17 π}{9} + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 sin (5 x) cos (4 x) - sin (x) :

None

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Frequently Asked Questions (FAQ)

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