Question

express sin square A in terms of tan square A​

Answer 1

Answer:

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Step-by-step explanation:

$We \: will \: learn \: how \: to \: express \: the \: multiple \: angle \: of \: sin \: 2A \: in \: terms \: of \: tan \: A. \\ Trigonometric \: function \: of \: sin \: 2A \: in \: terms \: of \: tan \: A \: is \: also \: known \: as \: one \: of \: the \: double \: angle \: formula. \\ We \: know \: if \: A \: is \: a \: number \: or \: angle \: then \: we \: have, \\ sin \: 2A = 2 sin A cos A \\ ⇒ sin 2 A= 2   \frac{sinA}{cosA} ∙ {cos}^{2} A \\ ⇒ sin 2A = 2 tan A ∙ \frac{1}{{sec }^{2}A } \\ ⇒ sin 2A =  \frac{ 2tanA}{1+{tan}^{2} A} \\ There for sin 2A = \frac{2tanA}{1+ {tan}^{2} A}</p><p></p><p></p><p>$

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