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If theta = n ∙ 360 + 180, for some integer n, then cos(theta°) = _____, and sin(theta°) = ______.

User Ajorgensen
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1 Answer

3 votes

Answer:

- 1, 0

Solution:

As per the question:


\theta = 360n + 180^(\circ)

Now,

We know that:


cos(2\pi n + \phi) = cos\phi

Also,


sin(2\pi n + \phi) = cos\phi

In the question,
\phi = 180^(\circ)

Therefore, we can write:


cos(360n + 180^(\circ)) = cos180^(\circ)

We know that:


cos180^(\circ) = - 1

Similarly,


sin(360n + 180^(\circ)) = sin180^(\circ)

We know that:


cos180^(\circ) = 0

User Vishal Dasadiya
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