41)A metallic sphere of radius 2 cm is melted to recast into the shape of a cylinder of radius 4cm. Then the height of the cylinder is
42)Three spheres of radii 6 cm, 1 cm and 8 cm are melted so as to form a single sphere. Then the radius of the new sphere is
43)If sin A = cos B, then A + B =
44)The value of cos 36° cos 54° – sin 36° sin 54° =
45)The value of 
=
=
46)The value of tan2θ + tan4θ =
47)The value of cos 45° . cos 30° – cos 90° . cos 60° =
48)If x = a cosecθ and y = a cotθ, then which of the following is true?
49)If sin A = 7/25, then cot A =
50)An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45°. Then the height of the palm tree is
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