Question

Find the value of sin (+) without using table if sin = 3/5 and tan = 5/1 and and are acute

Answer 1

Answer:

Step-by-step explanation:

Given, sinA=3/5 and  A  is an acute angle.  

So, in  ΔABC we have  ∠B=90  

0

,  

And  AC=5  and  BC=3,  

By Pythagoras theorem,

AB=  

(AC  

2

−BC  

2

)

​

 

=  

(5  

2

−3  

2

)

​

 

=  

(25−9)

​

 

=  

16

​

=4.

Now,

cosA=AB/AC=4/5

tanA=BC/AB=3/4

cotA=1/tanθ=4/3.

secA=1/cosθ=5/4.

cosecA = 1/sinθ=5/3