What is 8cos(x+pi)cos(x-pi) ?

The solution to 8cos(x+pi)cos(x-pi) is 8cos^2(x)

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simplify 8cos(x+pi)cos(x-pi)

simplify

8 cos (x + π) cos (x - π)

8 cos^{2} (x)

Solution steps

8 cos (x + π) cos (x - π)

Rewrite using trig identities

= 8 cos (x + π) (- cos (x))

Rewrite using trig identities

= 8 (- cos (x)) (- cos (x))

Simplify

8 (- cos (x)) (- cos (x)) : 8 cos^{2} (x)

= 8 cos^{2} (x)

- cos (nπ) - cos (π)

tan (3 0^{\circ} - x)

tan (- 3 x^{5})

csc (180 0^{\circ} - α)

sin (x) sin (18 0^{\circ} - x)