Home
Class 10
MATHS
If A+B = 90^@; prove that sqrt((tanA tan...

If `A+B = 90^@`; prove that `sqrt((tanA tanB+tanA cotB)/(sinA secB) - (sin^2 B)/(cos^2A)) = tanA`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Prove that: (sin2A)/(1+cos2A)=tanA

If A+B=pi/4 , prove that: (1+tanA)(1+tanB)=2

Knowledge Check

  • If A+B=90^(@) ,then sqrt((tanA.tanB+tanA.cotB)/(sinA.secB)-(sin^(2)B)/(cos^(2)A)) =?

    A
    `2tanA`
    B
    `tanA`
    C
    `tan^(2)A`
    D
    `2cot^(2)B`

    • Similar Questions

    Explore conceptually related problems

    Prove that: (tanA + tanB)/(cotA+cotB)=tanAtanB

    If A+B+C=pi , prove that : (tanA+tanB+tanC) (cotA+cotB+cotC)=1+secA secB secC .

    Prove that (cotA+tanB)/(cotB+tanA)=cotAtanB

    Prove that sqrt((1+sinA)/(1-sinA))=secA+tanA.

    Prove that sqrt[(1+sinA)/(1 - sinA)] = secA + tanA

    If A+B = pi/4 , then prove that (1+tanA ) (1+tanB)=2 .

    Prove that : sqrt((1+sinA)/(1-sinA))=secA+tanA.

    Home
    Profile