What is cos(pi+x)+cos(pi-x) ?

The solution to cos(pi+x)+cos(pi-x) is -2cos(x)

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simplify cos(pi+x)+cos(pi-x)

simplify

cos (π + x) + cos (π - x)

- 2 cos (x)

Solution steps

cos (π + x) + cos (π - x)

Rewrite using trig identities

= cos (π + x) - cos (x)

Rewrite using trig identities

= - cos (x) - cos (x)

Add similar elements:

- cos (x) - cos (x) = - 2 cos (x)

= - 2 cos (x)

cos (2 x + π)

- 1 + cos (2 x + π)

sin (arctan (2 x))

\frac{cos ( nπ )}{n ^{2}}

\frac{d x}{sec ^{2} ( x )}