(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.

The base of a rectangular container is a square of side 12 cm. This container holds water up to 2 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 224 cm³ of water overflows. Find the volume and surface area of the cube.

Find the value of 'A', if 2 cos A = 1

Find the value of 'A', if 2 sin 2A = 1

Find the value of 'A', if cosec 3A = `(2)/sqrt(3)`

Find the value of 'A', if 2cos 3A = 1

Find the value of 'A', if `sqrt(3)cot"A"` = 1

Find the value of 'A', if cot 3A = 1

Find the value of 'A', if (1 - cosec A)(2 - sec A) = 0

Find the value of 'A', if (2 - cosec 2A) cos 3A = 0

If sin α + cosβ = 1 and α= 90°, find the value of 'β'.

Solve for 'θ': `sin  θ/(3)` = 1

Solve for 'θ': cot²(θ - 5)° = 3

Solve for 'θ': `sec(θ/2 + 10°) = (2)/sqrt(3)`

If tanθ= cotθ and 0°≤ θ ≤ 90°, find the value of 'θ'.

If `sqrt(2) = 1.414 and sqrt(3) = 1.732`, find the value of the following correct to two decimal places tan60°

If θ = 30°, verify that: tan2θ = `(2tanθ)/(1 - tan^2θ)`

If θ = 30°, verify that: sin2θ = `(2tanθ)/(1 ++ tan^2θ)`

If A = 30°, verify that cos2θ = `(1 - tan^2 θ)/(1 + tan^2 θ)` = cos⁴θ - sin⁴θ = 2cos²θ - 1 - 2sin²θ

If θ = 30°, verify that: sin 3θ = 4sinθ . sin(60° - θ) sin(60° + θ)