Question

If Sin A/3=1/2 [a+l/a] find sin A .​

Answer 1

Answer:

Given  : sinθ=  

2

3

​

 

​

 

Let us first draw a right △ABC,∠B=90 degrees and ∠A=θ

We know that sin θ=  

AC

BC

​

=  

Hypotenuse

(perpendicular)

​

=  

2

3

​

 

​

 

By pythagoras Theorem:

AC  

2

=AB  

2

+BC  

2

 

or AB  

2

=AC  

2

−BC  

2

=4k  

2

−3k  

2

=k  

2

 

AB=k

Find other T-rations using their defination:

cos=  

AC

AB

​

=  

2

1

​

 

tanθ=  

AB

BC

​

=  

1

3

​

 

​

 

cscθ=  

sinθ

1

​

=  

3

​

 

2

​

 

secθ=  

cosθ

1

​

=2

cotθ=  

tanθ

1

​

=  

3

​

 

1

​

 

Step-by-step explanation: