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Find the determinant of a 3x3 matrix.

Will need a whiteboard so I can draw a matrix to fully explain.

Answered by Shaun M. • Further Mathematics tutor

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Use de Moivre's theorem to calculate an expression for sin(5x) in terms of sin(x) only.

What modules have you done before?

Use De Moivre's Theorem to show that if z = cos(q)+isin(q), then (z^n)+(z^-n) = 2cos(nq) and (z^n)-(z^-n)=2isin(nq).

Explain the process of using de Moivre's Theorem to find a trigonometric identity. For example, express tan(3x) in terms of sin(x) and cos(x).

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