Question

Find the period for the function: $\frac{5 sin x + 3 cos x}{4 sin 2x + 5 cos x}$.

Answer 1

function is (5sinx + 3cosx)/(4sin2x + 5cosx )

period of 5sinx = 2π

period of 3cosx = 2π

period of 4sin2x = 2π/2 = π

period of 5cosx = 2π


now, period of (5sinx + 3cosx)/(4sin2x + 5cosx )

= LCM { 2π , 2π , π , 2π }

= 2π

hence, period of given function is 2π.
you can understand with help of graph which is shown in figure.

Answer 2

Answer:

I think you can understand by using the graph and the solved questions .

Step-by-step explanation:

Thank youand dont forget to make this a brillent one