wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Show that sin1(2x1x2)=2sin1x for 12x12.

Open in App
Solution

To prove sin1(2x1x2)=2sin1x
Let's take derivative of LHS w.r.t x i.e.
ddxsin1(2x1x2)
=11(2x1x2)2×d(2x1x2)
=114x2(1x2)×(2x(2x)21x2+1x2(2))
=114x2+4x4×(2x2+22x21x2)
=24x2(12x2)1x2

=2(12x2)(12x2)1x2
=21x2
ddxsin1(2x1x2)=21x2
ddxsin1(2x1x2)=21x2
d(sin1(2x1x2))=21x2dx
sin1(2x1x2)=2sin1x for 12x12

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle and Its Measurement
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon