Math, asked by dinesh2625, 1 year ago

what is the value of tan if sin is 4/5

Answers

Answered by avanimishra8989
2

tan=4/3  By using Pythagoras theorem

Answered by BrainlyWarrior
1
\textbf{Hello Mate}  

\textbf{Your Answer}>>>>

Sin\frac{4}{5} = \frac{P}{H}

Where P is Perpendicular.

And H is Hypotenuse.  

So P = 4 and H = 5    

We know that tan= \frac{P}{B}

so we have to find B.  

Using Pythagoras Theorem>>>>  

H^2 = B^2 + P^2

Where B is Base.
Putting values of H and P>>>  

\upper{5}^{2} =\upper{B}^{2} + \upper{4}^{2}  

25 = \upper{B}^{2} + 16   Now substracting>>>

25 - 16 = \upper{B}^{2}  

 9 = \upper{B}^{2}  We know that \upper{(3)}^{2}  

So we get>>>   \upper{B}^{2} = \upper{(3)}^{2}  

The powers cancelled out>>>  

Therefore>>>  B = 3  

 Now tan = \frac{P}{B}  

Putting values of P and B    
So the required answer is>>>  

tan = \frac{4}{3}  

Be Brainly.  

@karangrover12        
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