For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the : - f(0) = 2, f(pi/4) = 0, f(pi/2) = -2, f(3pi/4) = 0, f(pi) = 2

what is the rule for the cosine

f(x) = 2 cos 2θ

Step-by-step explanation:

Equation is f(x) = a cos bθ

We have f(0) = 2

      a cos (b x 0) = 2

       a = 2

So f(x) = 2 cos bθ

We also have

So the equation is f(x) = 2 cos 2θ

college

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.