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

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

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 theta=(1)/(2)(a+(1)/(a)) then show that cos3 theta=(1)/(2)(a^(3)+(1)/(a^(3)))

If cos theta = 1/2 (a+(1)/(a)), then the value of cos 3 theta is

If theta=30o, verify that: ( i )cos2 theta=(1-tan^(2)theta)/(1+tan^(2)theta)( ii) cos3 theta=4cos^(3)theta-3cos theta

if (sin theta-cos theta)/(sin theta+cos theta)=(sqrt(3)-1)/(sqrt(3)+1) then find the theta

If (a cos theta_(1),a sin theta_(1)),(a cos theta_(2),a sin theta_(2)) and (a cos theta_(3),a sin theta_(3)) represent the vertices of an equilateral triangle inscribed in a circle,then (a)cos theta_(1)+cos theta_(2)+cos theta_(3)=0 (b) sin theta_(1)+sin theta_(2)+sin theta_(3)=0(c)tan theta_(1)+tan theta_(2)+tan theta_(3)=0(d)cot theta_(1)+cot theta_(2)+cot theta_(3)=0

cos theta cos2 theta cos3 theta=(1)/(4)

If theta=(pi)/(7), prove that cos theta cos2 theta cos3 theta=(1)/(2^(3))