Home
Class 10
MATHS
Prove that (cotA- cosA)/(cotA+ cosA) = (...

Prove that `(cotA- cosA)/(cotA+ cosA) = (cosecA -1)/(cosecA+1)`

Text Solution

Verified by Experts

`" "L.H.S. = (cotA - cosA)/(cotA + cosA) = ((cosA)/(sinA)- cosA)/((cosA)/(sinA) + cosA)`
`" " = (cosA((1)/(sinA)-1))/(cos A ((1)/(sinA)+1)) = (((1)/(sinA)-1))/((1)/(sinA ) +1)`
`" " = (cosecA -1)/(cosecA +1) = R.H.S`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    X BOARDS|Exercise SECTION-C 30 (b)|1 Videos
  • SAMPLE PAPER 2019

    X BOARDS|Exercise SECTION-C 31 (a)|1 Videos
  • SAMPLE PAPER 2019

    X BOARDS|Exercise SECTION-C|5 Videos
  • QUESTION PAPER 2023

    X BOARDS|Exercise Question|88 Videos
  • X Boards

    X BOARDS|Exercise All Questions|494 Videos

Similar Questions

Explore conceptually related problems

Prove that (cot A-cos A)/(cot A+cos A)=(cos ecA-1)/(cosecA+1)

Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

Prove that sqrt((1+cosA)/(1-cosA))=("cosec"A+cotA).

Prove that: (1+sinA-cosA)/(1+sinA+cosA) = tanA/2

If A+B+C=pi , prove that : (cotB+cotC) (cotC+cotA) (cotA+cotB)=cosecA cosecB cosecC

(cosecA)/(cosecA-1)+(cosecA)/(cosecA+1)=2sec^2A

Prove that: (1+cosA+sinA)/(1+cosA-sinA)=(1+sinA)/(cosA)

Prove that cosecA-2cot2AcosA=sinA

1/(cosecA+cotA)=cosecA-cotA

Porve that : (cosecA-sinA)(secA-cosA) =(1)/(tanA+cotA)