Question

If 5 secA -12cosec A = 0 then tan A=______

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Answer 1

Answer:-

Given,

$\sf 5 \sec(x) - 12 \cosec(x) = 0$

We have to find tan x.

So,

$\sf 5 \sec(x) - 12 \cosec(x) = 0$

$\sf \implies 5 \sec(x) = 12 \cosec(x)$

$\sf \implies \frac{5}{12} = \frac{\cosec(x) }{ \sec(x) }$

$\sf \implies \frac{5}{12} = \frac{\cos(x) }{ \sin(x) }$

$\sf \implies \cot(x) = \frac{5}{12}$

$\sf \implies \tan(x) = \frac{12}{5}$

Hence,

$\boxed{ \sf \large \tan(x) = \frac{12}{5} }$

Answer 2

answer = 12/5

hope it helps you