SOLUTION: show that cos(2arcsinx)=1-2x2

Algebra.Com
Question 770261: show that cos(2arcsinx)=1-2x2
Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
using double angle formulas we write:

with


then we notice:


and therefore



:)

RELATED QUESTIONS

show that... (answered by stanbon)
show that cos (2arc sin... (answered by tommyt3rd)
Write each function value as a non-trigonometric expression in x:... (answered by Fombitz)
show that... (answered by dabanfield)
Show that cos x / 1 + sin x + cos x / 1 - sin x = 2 sec... (answered by ikleyn)
Show that; sin^3 theta-cos^3 theta=(sin theta-cos theta)(1+sin theta cos... (answered by lwsshak3)
show that {{{(1/(1+sinx))+(1/(1-sinx))=(2/cos^2... (answered by mananth)
given that sin A = 1 - sqrt(2) show that cos^2A +2SinA =... (answered by jim_thompson5910,lwsshak3)
Show that... (answered by lwsshak3)