Home
Class 10
MATHS
Prove the following identities: (cosA)/...

Prove the following identities: `(cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (sinAcosA)/((1-sinA)(1-cosA)` `((1+cotA+tanA)(sinA-cosA)/(sec^3A-cos e c^3A)=sin^2Acos^2A`

Answer

Step by step text solution for Prove the following identities: (cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (sinAcosA)/((1-sinA)(1-cosA) ((1+cotA+tanA)(sinA-cosA)/(sec^3A-cos e c^3A)=sin^2Acos^2A by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos
  • TRIGONOMETRIC RATIOS

    RD SHARMA|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

(1+sinA-cosA)/(1+sinA+cosA)=

Prove that (1+cosA)/(sinA) + (sinA)/(1+cosA) = 2/(sin A)

Knowledge Check

  • (1+sinA-cosA)/(1+sinA+cosA)=?

    A
    `tan""(A)/(2)`
    B
    `cot""(A)/(2)`
    C
    `sin""(A)/(2)`
    D
    `cos""(A)/(2)`
  • Similar Questions

    Explore conceptually related problems

    (1+cotA+tanA)(sinA-cosA)=(secA)/(cosec^2A)-(cosecA)/(sec^2A)

    Prove that : (cosA)/(1+sin A) +(1+sinA)/(cosA)=2 sec A

    If (2sinA)/(1+sinA+cosA)=k then (1+sinA-cosA)/(1+sinA)=

    Prove the following: (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)=(cosA)/(1-sinA)

    (sinA)/(1+cosA)+(1+cosA)/sinA=2cosecA

    (i) (1+sinA-CosA)^2+(1-SinA+CosA)^2=4(1-SinA.CosA)

    Prove that : (cosA)/(1+tan A )-(sinA)/(1+cotA)= cosA - sin A