Mathematics: Which numbers complete the blanks when solving the equation Cosine (x + 2 pi) = negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction over the interval [0, 2Pi]? Cosine x times blank minus sine x times blank = negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction

The answer to this is false i think...

Which numbers complete the blanks when solving the

michelerin9486

06.02.2022

Thus, the blanks should be completed with 1;0 respectively

Step-by-step explanation:

Cosine of the sum of angles

The formula for the cosine of angles \alpha and \beta is shown below:

$cos(\alpha+\beta)=cos\alpha*cos\beta-sin\alpha*sin\beta$

For the expression given in the question:

$cos(x+2\pi)=cosx*cos2\pi-sinx*sin2\pi$

Since

$cos 2\pi=1, sin2\pi=0:$

$cos(x+2\pi)=cosx*1-sinx*0$

Thus, the blanks should be completed with 1;0 respectively

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