Flashcards
2021-12-05
In what form can you express $a\sin x \pm b\cos x$??
$$ R\sin(x \pm \alpha) $$
In what form can you express $a\cos x \pm b\sin x$??
$$ R\cos(x \mp \alpha) $$
You want to express $$a\sin x \pm b\cos x$$ as $$R\sin(x \pm \alpha)$$ How can you calculate $R$??
$$ R = \sqrt{a^2 + b^2} $$
You want to express $$a\sin x \pm b\cos x$$ as $$R\sin(x \pm \alpha)$$ How can you calculate $\alpha$??
$$ \tan \alpha = \frac{b}{a} $$
You want to express $$a\cos x \pm b\sin x$$ as $$R\cos(x \mp \alpha)$$ How can you calculate $R$??
$$ R = \sqrt{a^2 + b^2} $$
You want to express $$a\cos x \pm b\sin x$$ as $$R\cos(x \mp \alpha)$$ How can you calculate $\alpha$??
$$ \tan \alpha = \frac{b}{a} $$
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date: 2021-12-05 15:37
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title: Maths - Superposition of Sine and Cos