The value of tan 3-tan-

tan3θtanθ=3tanθ tan^3θtanθ(1 3tan^2θ)=3 tan^2θ1 3tan^2θ ...

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Standard X

Mathematics

Relation between Trigonometric Ratios

The value of ...

Question

The value of $\frac{tan 3 θ}{tan θ} = ?$ .

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Solution

$\frac{tan 3 θ}{tan θ} = \frac{3 tan θ - {tan}^{3} θ}{tan θ (1 - 3 {tan}^{2} θ)} = \frac{3 - {tan}^{2} θ}{1 - 3 {tan}^{2} θ}$

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The value of tan3θtanθ=?.

tan3θtanθ=3tanθ−tan3θtanθ(1−3tan2θ)=3−tan2θ1−3tan2θ

The value of $\frac{tan 3 θ}{tan θ} = ?$ .

$\frac{tan 3 θ}{tan θ} = \frac{3 tan θ - {tan}^{3} θ}{tan θ (1 - 3 {tan}^{2} θ)} = \frac{3 - {tan}^{2} θ}{1 - 3 {tan}^{2} θ}$