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

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 class=

Respuesta :

Answer:

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:

[tex]cos(\alpha+\beta)=cos\alpha*cos\beta-sin\alpha*sin\beta[/tex]

For the expression given in the question:

[tex]cos(x+2\pi)=cosx*cos2\pi-sinx*sin2\pi[/tex]

Since

[tex]cos 2\pi=1, sin2\pi=0:[/tex]

[tex]cos(x+2\pi)=cosx*1-sinx*0[/tex]

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

Answer:

A. 1;0

Step-by-step explanation:

did on edge

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