Question

If sin^{-1}(x)=\pi/2, find the value of cos^{-1}(x/2)​

Answer 1

Answer:We have,

sin  

−1

x=  

5

π

​  

 

We know that,

sin  

−1

x+cos  

−1

x=  

2

π

​  

 

Now,

sin  

−1

x+cos  

−1

x=  

2

π

​  

 

⇒  

5

π

​  

+cos  

−1

x=  

2

π

​  

 

⇒cos  

−1

x=  

2

π

​  

−  

5

π

​  

 

⇒cos  

−1

x=  

10

5π−2π

​  

 

⇒cos  

−1

x=  

10

3π

​  

 

Hence, this is the answer.

Step-by-step explanation: