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Find the value of this question sin(cot^-1X) Quick reply please

Find the value of this question 
sin(cot^-1X)
Quick reply please 

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Grade:12

2 Answers

Vikas TU
14149 Points
4 years ago
Dear student 
sin(cot^-1X) = SinQ 
Let Cotx = Q 
1/sqrt(1+x^2) = sinQ 
Q = sin^-1(1/sqrt(1+x^2))
= 1/sqrt(1+x^2) is the ans 
Hope this helps
Arun
25750 Points
4 years ago
Dear student 
 
We can write
 
cot-1 x = sin-1 ( 1/sqrt(1+x^2))
 
hence sin (cot-1 x) = sin (sin-1 ( 1/sqrt(1+x^2))) =  1/sqrt(1+x^2)

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