Question

Answer write in your page (°-°) Answer Typing kroge to bhi chalega.​

Answer 1

We know that,

$\boxed{\tan(A) = \dfrac{\sin(A)}{\cos(A)}}$

By substituting the given values in the formula, we get the following results:

$\longrightarrow \tan(A) = \dfrac{\frac{3}{5}}{\frac{4}{5}}$

$\longrightarrow \tan(A) = \dfrac{3}{\cancel{5}} \times \dfrac{\cancel{5}}{4}$

$\longrightarrow \boxed{\tan(A) = \dfrac{3}{4}}$

Answer 2

$\huge \textbf{ \textsf{\color{navy}{♡ \: So}\purple{luti}\pink{on \: ♡}}}$

$\displaystyle \large\bf\: The \: value \: of \: Tan \: A = \frac{3}{4}$

$\:$

Step-by-step Explanation :

Given :

$\displaystyle \bf Sin \: A = \frac{3}{5} \: \: \: and \: \: \: Cos \: A= \frac{4}{5}$

$\:$

To Find :

$\bf The \: value \: of \: Tan \: A \: ?$

$\:$

Explanation :

We know that,

$\displaystyle \bf \red⇝ \: Tan \: A = \frac{Sin \: A}{Cos \: A}$

So here,

$\displaystyle \bf \implies \: Tan \: A = \large \frac{ \: \frac{3}{5} \: }{ \: \frac{4}{5} \: }$

$\displaystyle \bf \implies\: Tan \: A = \frac{3}{ \cancel5} \times \frac{ \cancel5}{4}$

$\displaystyle \red{ \bf \implies \: \underline{ \boxed{ \bf Tan \: A = \frac{3}{ 4}}}}$

Hence,

$\displaystyle \large\bf\: ∴ \: The \: value \: of \: Tan \: A = \frac{3}{4}$

$\:$

To Get More Information :

$\displaystyle \bf \red \star \: \bf \: Sin \: A = \frac{ Opposite \: side}{Hypotenuse}$

$\displaystyle \bf \red \star \: \bf \: Cos \: A = \frac{Adjacent \: side}{Hypotenuse}$

$\displaystyle \bf \red \star \: \bf \:Tan \: A = \frac{Opposite \: side}{Adjacent \: side} \: \: or \: \: \frac{Sin \: A}{Cos \: A}$

$\displaystyle \bf \red \star \: \bf \:Cosec \: A = \frac{1}{Sin \: A} = \frac{1}{ \frac{Opposite \: side}{Hypotenuse} } = \frac{Hypotenuse}{Opposite\: side}$

$\displaystyle \bf \red \star \: \bf \: Sec\: A = \frac{1}{Cos\: A} = \frac{1}{ \frac{ Adjacent\: side}{Hypotenuse} } = \frac{Hypotenuse}{Adjacent\: side}$

$\displaystyle \bf \red \star \: \bf \: Cot\: A = \frac{1}{Tan\: A} = \frac{1}{ \frac{Opposite \: side }{Adjacent\: side} } = \frac{Adjacent \: side}{Opposite \: side} \: \: or \: \: \frac{Cos \: A}{Sin \: A}$

$\:$