Let `f(n)=cos1times cos2times cos3times...times cos n AA n in N` then the number of elements in the set `A={f(1),f(2),...,f(7)}` that are negative are `lambda` then `lambda` is equal to

Let F(n)=(sin1)xx(sin2)xx....sin(n),AA"n"in"N" then number of elements in the set A={f(1),f(2),..........,f(6)} that are positive are

If the range of f(x) =cos^(-1)[5x] is {a, b,c} and a+b+c = (lambda pi)/(2) , then lambda is equal to ([.] denotes G.I.F.)

Consider the function f defined on the set of all non-negative interger such that f(0) = 1, f(1) =0 and f(n) + f(n-1) = nf(n-1)+(n-1) f(n-2) for n ge 2 , then f(5) is equal to

If a function F is such that F(0)=2 , F(1)=3 , F(n+2)=2F(n)-F(n+1) for n ge 0 , then F(5) is equal to

If (x)=(cos x+i sin x)(cos3x+i sin3x)...(cos(2n-1)x+i sin(2n-1)x) then f(x) is

Let m be the number of elements in the domain of f(x) and n be the number of elements in the range of f(x) where f(x)=sin^(-1)[sec(3tan^(-1)x)]+cos^(-1)[cos ec(3cot^(-1)x)] ,then the value of (m+n) is:

Let f(n)=2cos nx AA n in N, then f(1)f(n+1)-f(n) is equal to (a)f(n+3) (b) f(n+2)(c)f(n+1)f(2)(d)f(n+2)f(2)

Given the function f(x)=1/(1-x) , the numbers of discontinuities of f^(3n) = f o f … of ("3n times") is

Let f_(n)(theta)=(sin theta+sin2 theta+sin3 theta++sin n theta)/(cos theta+cos2 theta+cos3 theta++cos n theta)