(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

Construct a frequency polygon without using a histogram for the following frequency distribution :

Construct a frequency polygon without using a histogram for the following frequency distribution :

Construct a frequency polygon without using a histogram for the following frequency distribution :

Prove the following identity :

`(1 - sin^2θ)sec^2θ = 1`

Prove the following identity :

`(1 - cos^2θ)sec^2θ = tan^2θ`

Prove the following identity :

tanA+cotA=secAcosecA 

Prove the following identity :

`sinθ(1 + tanθ) + cosθ(1 +cotθ) = secθ + cosecθ` 

Prove the following identity :

 ( 1 + cotθ - cosecθ) ( 1 + tanθ + secθ) 

Prove the following identity :

sinθcotθ + sinθcosecθ = 1 + cosθ  

Prove the following identity :

secA(1 - sinA)(secA + tanA) = 1

Prove the following identity :

secA(1 + sinA)(secA - tanA) = 1

Prove the following identity :

cosecθ(1 + cosθ)(cosecθ - cotθ) = 1

Prove the following identity :

`(tanθ + secθ - 1)/(tanθ - secθ + 1) = (1 + sinθ)/(cosθ)`

Prove the following identity:

`cosA/(1 + sinA) = secA - tanA`

Prove the following identity :

`(1 + sinA)/(1 - sinA) = (cosecA + 1)/(cosecA - 1)`

Prove the following identity : 

`(secA - 1)/(secA + 1) = (1 - cosA)/(1 + cosA)`

Prove the following identity : 

`sin^2Acos^2B - cos^2Asin^2B = sin^2A - sin^2B`

Prove the following identity :

`(1 - tanA)^2 + (1 + tanA)^2 = 2sec^2A`

Prove the following identity :

`cosec^4A - cosec^2A = cot^4A + cot^2A`

Prove the following identity :

`sec^2A + cosec^2A = sec^2Acosec^2A`