If cot A = 15 / 8, then what will be the value of tan 2 A?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 2)

Answer 1

Given:

cot A = 15/8

Concept used:

1. tan 2α = \(\frac {2 \times tan α}{(1 - tan^2 α)}\)

2. tan α = 1/cot α

Calculation:

cot A = 15/8

⇒ tan A = 8/15

Now, tan 2 A

⇒ \(\frac {2 \times tan A}{(1 - tan^2 A)}\)

⇒ \(\frac {2 \times \frac {8}{15}}{(1 - (\frac {8}{15})^2)}\)

⇒ \(\frac {\frac {16}{15}}{\frac {161}{225}}\)

⇒ \({\frac {16 \times 225}{15 \times 161}}\)

⇒ 240/161

∴ The value of tan 2A is 240/161.

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