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Popular >

f(x)=sin(10x)+cos(3x)

Solution

f (x) = sin (10 x) + cos (3 x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

X Intercepts : (\frac{3 π}{14} + 2 πn, 0), (\frac{π}{2} + 2 πn, 0), (\frac{11 π}{14} + 2 πn, 0), (\frac{15 π}{14} + 2 πn, 0), (\frac{19 π}{14} + 2 πn, 0), (\frac{23 π}{14} + 2 πn, 0), (\frac{27 π}{14} + 2 πn, 0), (\frac{3 π}{26} + 2 πn, 0), (\frac{7 π}{26} + 2 πn, 0), (\frac{11 π}{26} + 2 πn, 0), (\frac{15 π}{26} + 2 πn, 0), (\frac{19 π}{26} + 2 πn, 0), (\frac{23 π}{26} + 2 πn, 0), (\frac{27 π}{26} + 2 πn, 0), (\frac{31 π}{26} + 2 πn, 0), (\frac{35 π}{26} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), (\frac{43 π}{26} + 2 πn, 0), (\frac{47 π}{26} + 2 πn, 0), (\frac{51 π}{26} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

sin (10 x) + cos (3 x) : 2 π

Domain of

sin (10 x) + cos (3 x) : - \infty < x < \infty

Axis interception points of

sin (10 x) + cos (3 x) :

X Intercepts

: (\frac{3 π}{14} + 2 πn, 0), (\frac{π}{2} + 2 πn, 0), (\frac{11 π}{14} + 2 πn, 0), (\frac{15 π}{14} + 2 πn, 0), (\frac{19 π}{14} + 2 πn, 0), (\frac{23 π}{14} + 2 πn, 0), (\frac{27 π}{14} + 2 πn, 0), (\frac{3 π}{26} + 2 πn, 0), (\frac{7 π}{26} + 2 πn, 0), (\frac{11 π}{26} + 2 πn, 0), (\frac{15 π}{26} + 2 πn, 0), (\frac{19 π}{26} + 2 πn, 0), (\frac{23 π}{26} + 2 πn, 0), (\frac{27 π}{26} + 2 πn, 0), (\frac{31 π}{26} + 2 πn, 0), (\frac{35 π}{26} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), (\frac{43 π}{26} + 2 πn, 0), (\frac{47 π}{26} + 2 πn, 0), (\frac{51 π}{26} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

sin (10 x) + cos (3 x) :

None

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Frequently Asked Questions (FAQ)

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