Respuesta :

[tex]\bf A=cos(\theta )\qquad \qquad B=sin(2\theta )\\\\ -------------------------------\\\\ B=sin(2\theta )\implies B=2sin(\theta )\stackrel{A}{cos(\theta )}\implies B=2sin(\theta )A \\\\\\ \textit{or also }\qquad \cfrac{B}{2sin(\theta )}=A[/tex]

The relationship between the functions A and B will be B = 2A sin θ.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

A = cos θ

B = sin 2θ

Then the relationship between A and B will be given as,

We know that the formula of sin 2x = 2 · sin x · cos x

Then the equation will be

B = 2 · sin θ · cos θ

Substitute the cos θ = A, then the equation will be

B = 2 · sin θ · A

B = 2A sin θ

The relationship between A and B will be B = 2A sin θ.

More about the function link is given below.

https://brainly.com/question/5245372

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