Question

sin(cot-1(tan(cos-1x)))=​

Answer 1

Answer:

Step-by-step explanation:

We have,

sincot  

−1

tancos  

−1

x∴cos  

−1

x=tan  

−1

 

x

1−x  

2

 

​  

 

​  

 

⇒sincot  

−1

tantan  

−1

 

x

1−x  

2

 

​  

 

​  

 

⇒sincot  

−1

 

x

1−x  

2

 

​  

 

​  

 

⇒sintan  

−1

 

1−x  

2

 

​  

 

x

​  

 

⇒sinsin  

−1

x

⇒x

Answer 2

$\sin( \cot ^{ - 1}( \tan( \cos ^{ - 1} x) ) )$=x

Step-by-step explanation:

=Sin(Cot^-1(Tan(Tan^-1(√1-x²/x)))

=Sin(Cot^-1(√1-x²/x))

=Sin(Sin^-1(x/1))

=x