1.

atan(cos(x)/(sin(x) %2B 1))=pi/4 - x/2

Answer»

cos^2(x/2) - sin^2 (x/2) / sin^2(x/2)+cos^2(x/2)+2 sin(x/2) cos(x/2)

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

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

= 1 - tan(x/2) / 1+tan(x/2)

= tan (pi/4 - x/2)

=tan-1[tan(pi/4 - x/2)]

= pi/4 - x/2


Discussion

No Comment Found

Related InterviewSolutions