" If "f(n)=(sqrt(3))/(2)," show that "4cos^(3)theta-3cos theta=-1

If sin theta=sqrt3/2 then prove that 4cos^3 theta-3cos theta=-1

If sin theta=(1)/(2), show that (3cos theta-4cos^(3)theta)=0

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

If cot theta=(1)/(sqrt(3)), show that (1-cos^(2)theta)/(2-sin^(2)theta)=(3)/(5)

If cottheta=1/(sqrt(3)) , show that (1-cos^2theta)/(2-sin^2theta)=3/5

If cottheta=1/(sqrt(3)) , show that (1-cos^2theta)/(2-sin^2theta)=3/5

If sec theta=(13)/(5), show that (2sin theta-3cos theta)/(4sin theta-9cos theta)=3

If tan theta = (1)/( sqrt(3)) , prove that 7 sin^(2) theta + 3 cos ^(2) theta = 4

If cos theta +sec theta=sqrt(3) , show that, cos^3theta+sec^3theta=0 .

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