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

The solution to cos(x)+cos(pi-x) is 0

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

simplify

cos (x) + cos (π - x)

0

Solution steps

cos (x) + cos (π - x)

Rewrite using trig identities

= cos (x) - cos (x)

Add similar elements:

cos (x) - cos (x) = 0

= 0

sin (3 π + x)

1 + tan^{2} (\frac{π}{16} x)

sin (arccos (\frac{x}{13}))

cos (x - \frac{π}{12})

1 + (- cot (x))^{2}