Question

find tanA, if tan A/2=0.6​

Answer 1

Step-by-step explanation:

For all values of the angle A we know that, tan A = 2 tan A/2/1 - tan^2 A/2

⇒ 2 tan A/2 = tan A ∙ tan^2 A/2

⇒ tan A ∙ tan^2 A/2 + 2 tan A/2 - tan A = 0

⇒ tan θ/2 = -2 ± √(4 + 4 tan^2 A)/2 tan A

⇒ tan θ/2 = -1 ± √1 + tan^2A/tan A

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Answer 2

The value of tan A = 1.875

Given :

tan A/2 = 0.6

To find :

The value of tan A

Solution :

Step 1 of 2 :

Write down the formula to find the value of tan A

$\displaystyle \sf{ } tan A = \frac{2 \: tan \: \frac{A}{2} }{1 -{ tan}^{2} \frac{A}{2}}$

Step 2 of 2 :

Find the value of tan A

$\displaystyle \sf{ tan A }$

$\displaystyle \sf{ } = \frac{2 \: tan \: \frac{A}{2} }{1 -{ tan}^{2} \frac{A}{2}}$

$\displaystyle \sf{ } = \frac{2 \times 0.6 }{1 -{(0.6)}^{2} }$

$\displaystyle \sf{ } = \frac{1.2 }{1 -0.36 }$

$\displaystyle \sf{ } = \frac{1.2 }{0.64 }$

$\sf = 1.875$

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