What is sin(2pift-pi)+sin(2pift+pi) ?

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

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simplify sin(2pift-pi)+sin(2pift+pi)

simplify

sin (2 π f t - π) + sin (2 π f t + π)

- 2 sin (2 π f t)

Solution steps

sin (2 π f t - π) + sin (2 π f t + π)

Rewrite using trig identities

= sin (2 π f t - π) - sin (2 π f t)

Rewrite using trig identities

= - sin (2 π f t) - sin (2 π f t)

Add similar elements:

- sin (2 π f t) - sin (2 π f t) = - 2 sin (2 π f t)

= - 2 sin (2 π f t)

sin (a - 9 0^{\circ})

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

3 cos (4 t + \frac{π}{3})

sin (\frac{1}{cos ( x )})

sin (θ + π)

What is sin(2pift-pi)+sin(2pift+pi) ?
The solution to sin(2pift-pi)+sin(2pift+pi) is -2sin(2pift)