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

The solution to sin(2pift)+sin(2pift-pi) is 0

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

simplify

sin (2 π f t) + sin (2 π f t - π)

0

Solution steps

sin (2 π f t) + sin (2 π f t - π)

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) = 0

= 0

sin (arctan (\frac{u}{3}))

- sin (9 t + 2 π) - 4 sin (- 9 t)

sin^{2} (x + \frac{π}{2})

9 sec^{2} (x) - 9

sin (- 3 θ)

What is sin(2pift)+sin(2pift-pi) ?
The solution to sin(2pift)+sin(2pift-pi) is 0