Maths and Computing:

Trigonometric Series

Trigonometric Series: Compound Angle

Expression for cos(mx) in terms of powers of cos(x)

Workings use de Moivre's Theorem

Select a value for m

m:

Expression for sin(mx) in terms of powers of cos(x)and powers of sin(x)

Workings use de Moivre's Theorem

Select a value for m

m:

Expression for cosⁿ(x) in terms of the sum of compound angles of cos(x)/h3>

Workings use de Moivre's Theorem

Select a value for n

n:

Expression for sinⁿ(x) in terms of the sum of compound angles of cos(x) and sin(x)/h3>

Workings use de Moivre's Theorem

Select a value for n

n:

Expression for

n	C(n,r)cos(rx)
Σ
r = 0

Select a value for n

n:

Expression for

n	C(n,r)sin(rx)
Σ
r = 0

Select a value for m

m:

Expression for

∞	a^rcos(rx)
Σ
r = 0

Select values for the nominator and denominator for a. -1 < a < 1

a:

/

Expression for

∞	a^rsin(rx)
Σ
r = 0

Select a value for a

a:

/

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