Question

If sin x =3/5 and 0<x< 90 then tanx=​

Answer 1

Step-by-step explanation:

tanx=  

4

3

​

 

B

P

​

=  

4

3

​

 

Thus, P=3,B=4

Now, H  

2

=P  

2

+B  

2

 

H  

2

=3  

2

+4  

2

 

H  

2

=5  

2

 

H=5

Now, sinx=  

H

P

​

=  

5

3

​

Answer 2

Step-by-step explanation:

sin x = ⅗ [Given]

cos x = sqrt( 1 - sin^2 x)

sin^2 x = (⅗)^2 = 9/25

cos x = sqrt( 1 - 9/25) = sqrt(16/25) = ⅘.

tan x = sin x ÷ cos x, tan x = ⅗/⅘ = ¾.