Question

State a generalization of these results:

If theta = n ∙ 360, for some integer n, then cos(theta°) = _____, and sin(theta°) = ______.

Answer 1

`cos\Theta =0`

`sin\Theta =0`

Explanation:

We have given that
`\Theta =n* 360` for some integer n

We have to find the value of
`cos\Theta \ and\ sin\Theta`

As it is given that
`\Theta =n* 360[/tex</p><p>So [tex]cos\Theta =cos(n* 360)=cos360^(\circ)=0` (as after 360° angle will repeat )

Similarly
`sin\Theta =sin(n* 360)=sin360^(\circ)=0`