Question

What is the value of tan3x if tanx=1/2

Answer 1

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Answer 2

Answer:

The value of $tan3x=11/2$

Step-by-step explanation:

It is given that $tanx=1/2$

We know the identity

$tan3x=\frac{3tanx-tan^{3}x }{1-3tan^{2} x}$

Using the values

$tan3x=\frac{3(\frac{1}{2} )-tan^{3}(\frac{1}{2} ) }{1-3tan^{2} (\frac{1}{2} )}$

$tan3x=\frac{3(\frac{1}{2} )-(\frac{1}{2} )^{3} }{1-3(\frac{1}{2} )^{2}}$

$tan3x=\frac{\frac{3}{2}-\frac{1}{8} }{1-\frac{3}{4} }$

$tan3x=\frac{\frac{11}{8} }{\frac{1}{4} }$

$tan3x=11/2$.

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