If x = - 24 25 , then the value of , x is - Vidyadip

MCQ

If $\sin x = \frac{{ - 24}}{{25}},$ then the value of $\tan \, x$ is

A
$\frac{{24}}{{25}}$
✓
$\frac{{ - 24}}{7}$
C
$\frac{{25}}{{24}}$
D
None of these

✓

Answer

Correct option: B.

$\frac{{ - 24}}{7}$

b
(b) $\cos x = \sqrt {1 - {{\sin }^2}x} $

$= \sqrt {1 - {{\left( {\frac{{ - 24}}{{25}}} \right)}^2}} = \frac{7}{{25}}$

$ \Rightarrow \tan x = \frac{{\sin x}}{{\cos x}} = \frac{{ - 24}}{7}$.

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