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

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)

If θ = 30°, verify that: 1 - sin 2θ = (sinθ - cosθ)² 

Evaluate the following: `((sin3θ - 2sin4θ))/((cos3θ - 2cos4θ))` when 2θ = 30°

Evaluate the following: `((1 - cosθ)(1 + cosθ))/((1 - sinθ)(1 + sinθ)` if θ = 30°

If θ = 15°, find the value of: cos3θ - sin6θ + 3sin(5θ + 15°) - 2 tan²3θ

If A = B = 60°, verify that: cos(A - B) = cosA cosB + sinA sinB

If A = B = 60°, verify that: sin(A - B) = sinA cosB - cosA sinB

If A = B = 60°, verify that: tan(A - B) = `(tan"A" - tan"B")/(1 + tan"A" tan"B"")`