[" A line makes angle "theta_(1),theta_(2),theta_(3)" and "theta_(4)" with the diagonals of a cube,Show that "],[cos^(2)theta_(1)+cos^(2)theta_(2)+cos^(2)theta_(3)+cos^(2)theta_(4)=(4)/(3)]

A line makes angle theta_(1),theta_(2),theta_(3) and theta_(4) with the diagonals of cube.Show that cos^(2)theta_(1)+cos^(2)theta_(2)+cos^(2)theta_(3)+cos^(2)theta_(4)=(4)/(3)

cos^(2)theta+(1)/(2)cos^(4)theta+(1)/(3)cos^(6)theta+....=

If the line vec(OR) makes angles theta_(1),theta_(2),theta_(3) with the planes XOY, YOZ, ZOX respectively , then cos^(2)theta_(1)+cos^(2)theta_(2)+cos^(2)theta_(3) is equal to

Prove that : sin^(4)theta + cos^(4)theta = 1 - 2 cos^(2) theta + 2 cos^(4)theta

Prove that : sin^(4)theta + cos^(4)theta = 1 - 2 cos^(2) theta + 2 cos^(4)theta

If tan theta=(3)/(4), then (4sin^(2)theta-2cos^(2)theta)/(4sin^(2)theta+3cos^(2)theta)

If tan theta=(3)/(4), then (4sin^(2)theta-2cos^(2)theta)/(4sin^(2)theta+3cos^(2)theta)

f theta_(1),theta_(2),theta_(3),theta_(4),theta_(5)in(0,(pi)/(2)), satisfying tan theta_(1)tan theta_(2)tan theta_(3)tan theta_(4)tan theta_(5)=1 then maximum_(2 value of )theta_(3)tan theta_(4)cos theta_(5) is cos theta_(1)cos theta_(2)cos theta_(3)cos theta_(4)cos theta_(5) is

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

cos^(3)2 theta+3cos2 theta=4(cos^(6)theta-sin^(6)theta)