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State a generalization of these results:
If theta = n ∙ 360, for some integer n, then cos(theta°) = _____, and sin(theta°) = ______.

Respuesta :

Answer:

[tex]cos\Theta =0[/tex]

[tex]sin\Theta =0[/tex]

Step-by-step explanation:

We have given that [tex]\Theta =n\times 360[/tex] for some integer n

We have to find the value of [tex]cos\Theta \ and\ sin\Theta[/tex]

As it is given that  [tex]\Theta =n\times 360[/tex

So [tex]cos\Theta =cos(n\times 360)=cos360^{\circ}=0[/tex] (as after 360° angle will repeat )

Similarly [tex]sin\Theta =sin(n\times 360)=sin360^{\circ}=0[/tex]

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