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Chilukuri Sai Kartik Grade: 12
        

What is the value of Cos(2Cos-1x+Sin-1x) at x=1/5?

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

cos-1x + sin-1x = pi/2   ............1                   (identity)


 


cos(2cos-1x+sin-1x) = cos[(cos-1x+sin-1x) + cos-1x]


=cos[pi/2 + cos-1x]                             (by using eq 1)


 


(    we know , cos[pi/2+A] = -sinA   )


 


=-sin[cos-1x]


=-sin[sin-1(1-x2)1/2]                              (cos-1x = sin-1(1-x2)1/2  )


=-(1-x2)1/2 


at x = 1/5


=-(2root6)/5


 

6 years ago
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