What is expand sin(pin(2k+1)) ?

The solution to expand sin(pin(2k+1)) is (-1)^nsin(2pink)

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expand sin(pin(2k+1))

expand

sin (πn (2 k + 1))

(- 1)^{n} sin (2 πnk)

Solution steps

sin (πn (2 k + 1))

Expand

πn (2 k + 1) : 2 πnk + πn

= sin (2 πnk + πn)

Use the basic trigonometric identity:

sin (x + nπ) = (- 1)^{n} sin (x)

= (- 1)^{n} sin (2 πnk)

(0, - 2, - 3) (2, 2, x)

\frac{3 x + 5}{( 4 x + 2 ) ( x - 1 )}

(1) 1000000

e^{2 (n l n (n) - n)}

2 (x^{2} - x - 2)^{2}

What is expand sin(pin(2k+1)) ?
The solution to expand sin(pin(2k+1)) is (-1)^nsin(2pink)