The least value of n for which (n -...

The least value of n for which
`(n -2) x^(2) + 8 x + n + 4 gt sin^(-1) ( sin 12) + cos^-1)( cos 12),AA x in R", where " n in N `, is ..............

Verified by Experts

The correct Answer is:

9

Similar Questions

Explore conceptually related problems

If (n +1 ) ! = 12 (n-1) ! then n = ........... n in N

The most general values of 'x' for which sin x + cos x ="min"_(a in R)[1,a^(2)-4a+6] are given by

sin(n+1)x.cosnx-cos(n+1)x.sinnx= …………

Solve the inequality (5)/4 sin^(2) x + sin^(2) x * cos^(2) gt cos 2x.

The least positive integer n for which ((1+i)/(1-i))^n= 2/pi sin^-1 ((1+x^2)/(2x)) , where x> 0 and i=sqrt-1 is

Prove that sin(n+1)xsin(n+2)x+cos(n+1)xcos(n+2)x=cosx

If ((n),(12))=((n),(8)) then n = ........ .

Differentiate sin^(m) x.cos^(n) x

if sin x + sin^2 x = 1 , then the value of cos^2 x + cos^4x is

The least positive integer n for which ((1+i)/(1-i))^(n)=(2)/(pi)(sec^(-1)""(1)/(x)+sin^(-1)x) (where, Xne0,-1leXle1andi=sqrt(-1), is