Prove That:Tan 13x − Tan 9x − Tan 4x = Tan 13x Tan 9x Tan 4x - Mathematics

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Prove that:
tan 13x − tan 9x − tan 4x = tan 13x tan 9x tan 4x

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उत्तर

$We know that 13 x = 9 x + 4 x$
Therefore,
$\tan (13 x) = \tan (9 x + 4 x)$
$\Rightarrow \tan 13 x = \frac{\tan 9 x + \tan 4 x}{1 - \tan 9 x \tan 4 x}$
$\Rightarrow \tan 13 x - \tan 13 x \tan 9 x \tan 4 x = \tan 9 x + \tan 4 x$
$\Rightarrow \tan 13 x - \tan 9 x - \tan 4 x = \tan 13 x \tan 9 x \tan 4 x$
Hence proved .

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Trigonometric Functions of Sum and Difference of Two Angles

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Q 17.4 Q 17.3 Q 18

अध्याय 7: Values of Trigonometric function at sum or difference of angles - Exercise 7.1 [पृष्ठ २०]

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अध्याय 7 Values of Trigonometric function at sum or difference of angles
Exercise 7.1 | Q 17.4 | पृष्ठ २०

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Prove That:Tan 13x − Tan 9x − Tan 4x = Tan 13x Tan 9x Tan 4x - Mathematics

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Prove That:Tan 13x − Tan 9x − Tan 4x = Tan 13x Tan 9x Tan 4x - Mathematics

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