[K-1.2a<=tan^(-1)x+cot^(-1)x+sin^(-1)x<=b." Then- "],[[" (1) "a=0,b=pi," (2) "b=(pi)/(2)]]

If K_(1) and K_(2) are the values of K such the (K,2-2K),(-K+1,2K),(-4-K,6-2K) are collinear. Then K_(1)^(2)+K_(2)^(2)

Find the value of 4k+1 if k=1;k=2,k=-1 and k=(1)/(2)

If (k-1),(2k+1),(6k+3) are in GP then k=?

If A=[(3,-4),(1,-1)] prove that A^k=[(1+2k,-4k),(k,1-2k)] where k is any positive integer.

If A=[(3,-4),(1,-1)] prove that A^k=[(1+2k,-4k),(k,1-2k)] where k is any positive integer.

Solve it sin((k+1)/2)theta-sin((k-1)/2)theta=sintheta

prove that sum_(k=1)^(n)k2^(-k)=2[1-2^(-n)-n*2^(-(n+1)))

If k,2k-1 and 2k+1 are in the arithmetic progression then k

Let S(K) =1+3+5+….+(2K-1)=k^(2) +3 . Then which of the following is true?