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Popular Functions >

f(t)=cos(5t)+sin(2t)

Solution

f (t) = cos (5 t) + sin (2 t)

Solution

Period : 2 π

Domain : - \infty < t < \infty

X Intercepts : (\frac{π}{6} + 2 πn, 0), (\frac{5 π}{6} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), (\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), Y Intercepts : (0, 1)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

cos (5 t) + sin (2 t) : 2 π

Domain of

cos (5 t) + sin (2 t) : - \infty < t < \infty

Axis interception points of

cos (5 t) + sin (2 t) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (5 t) + sin (2 t) :

None

Graph

Popular Examples

y=-x^6-6x^5+50x^3+45x^2-108x-108

f(x)= 1/2 x^2+2x-6

f(x)=(2x^2-3)/5

f(x)=(3.2x-4.9)ln(3.2x+2.7)

Frequently Asked Questions (FAQ)

What is the f(t)=cos(5t)+sin(2t) ?
The f(t)=cos(5t)+sin(2t) is