Trigonometric R- Method

$ R sin( \alpha + \theta ) = a \text{ } cos( \theta ) + b \text{ } sin ( \theta ) $

$R^2 = a^2 + b^2$

$tan( \alpha ) = \dfrac{b}{a}$

$R > 0 , \dfrac{ - \pi }{ 2 } < \theta < \dfrac{ \pi }{ 2 }$

$\text{ Similar to Cartesian } -> \text{ Polar }$

$\text{Refer to classic proof of trig compound angle formulae in vector(Cartesian) form }$

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$