What is cos(x)cos(x+180) ?

The solution to cos(x)cos(x+180) is -cos^2(x)

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simplify cos(x)cos(x+180)

simplify

cos (x) cos (x + 18 0^{\circ})

- cos^{2} (x)

Solution steps

cos (x) cos (x + 18 0^{\circ})

Rewrite using trig identities

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

Simplify

cos (x) (- cos (x)) : - cos^{2} (x)

= - cos^{2} (x)

2 sin (2 t - \frac{π}{2})

a r tan (- \frac{3}{2})

cos (nπ) + cos (π)

cos (- \frac{π}{2} - x)

cos (- u)