[" If "cos theta=(1)/(2)(a+(1)/(a))" and "cos3 theta=(1)/(2)(a^(k)+(1)/(a^(k)))" then number of natural numbers "k" less than "50" is "],[" (given "a in R)]

cos theta=(1)/(2)(a+(1)/(a)) and cos3 theta=k(a^(3)+(1)/(a^(3))) then K=

If sin theta=(1)/(2) (a+(1)/(a)) and sin 3 theta=(k)/(2)(a^(3)+(1)/(a^(3))) , then k+6 is equal to :

If sin theta=(1)/(2) (a+(1)/(a)) and sin 3 theta=(k)/(2)(a^(3)+(1)/(a^(3))) , then k+6 is equal to :

If cos ec theta+cot theta=k then prove that cos theta=(k^(2)-1)/(k^(2)+1)

If x_(k)=(sec theta)^((1)/(2^(k)))+(tan theta)^((1)/(2^(k)))quad and y_(k)=(sec theta)^((1)/(2k))-(tan theta)^((1)/(2^(k))), then value of 3y_(n)prod_(k=0)^(n)(x_(k)) is equal to

If |(cos theta,-1,1),(cos2 theta,4,3),(2,7,7)|=0 , then the number of values of theta in [0, 1pi] is

If |(cos theta,-1,1),(cos2 theta,4,3),(2,7,7)|=0 , then the number of values of theta in [0, 1pi] is

The variance of 10 natural numbers 1,1,1,1 ... k is less then 10 . Find maximum value of k

If cosec theta + cot theta =k , then prove that cos theta =(k^(2)-1)/( k^(2)+1)

If cosec theta + cot theta =k , then prove that cos theta =(k^(2)-1)/( k^(2)+1)