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

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

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simplify sin(x+pi)+sin(x-pi)

simplify

sin (x + π) + sin (x - π)

- 2 sin (x)

Solution steps

sin (x + π) + sin (x - π)

Rewrite using trig identities

= sin (x + π) - sin (x)

Rewrite using trig identities

= - sin (x) - sin (x)

Add similar elements:

- sin (x) - sin (x) = - 2 sin (x)

= - 2 sin (x)

\frac{1}{tan ( \frac{7 π}{2} + x )}

sin (arctan (2 t))

8 t^{2} cos (3 t + 3 0^{\circ})

(cos (2 t - \frac{3 π}{4}))^{2}

sin (24 π + x)