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How would you simplify cos(θ+π) and cos(θ-π)?zack7 said:What I don't get is how to I simplify from
[itex]\frac{-(cos(n*π+π)}{(n+1)}[/itex]+[itex]\frac{-(cos(n*π-π)}{(n-1)}[/itex]
to
[itex]\frac{(cos(n*π)}{(n+1)}[/itex]-[itex]\frac{(cos(n*π)}{(n-1)}[/itex]
How would combine a/(n+1) - a/(n-1) into a single fraction?to
[itex]\frac{-(2 cos(π n)}{(n^2-1)}[/itex]
haruspex said:You may be looking for something more complicated than necessary.
How would you simplify cos(θ+π) and cos(θ-π)?
How would combine a/(n+1) - a/(n-1) into a single fraction?
Cosine is a trigonometric function that represents the ratio of the adjacent side of a right triangle to the hypotenuse.
Cosine can be simplified by using trigonometric identities, such as the Pythagorean identity, double angle identity, and half angle identity.
The range of values for cosine is between -1 and 1, inclusive.
Cosine is used in a variety of fields such as physics, engineering, and mathematics to model periodic phenomena, measure angles, and calculate distances.
Cosine is related to other trigonometric functions such as sine and tangent through various trigonometric identities and can be expressed in terms of these functions.