Home
Class 11
MATHS
Prove that (tanA+secA-1)/(tanA-secA+1)=(...

Prove that `(tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)`
Thinking Process : Here, use the formula i.e., `sec^(2)A-tan^(2)A=1anda^(2)-b^(2)=(a+b)(a-b)` to solve the above problems.

Text Solution

Verified by Experts

The correct Answer is:
`(1+sinA)/(cosA)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|30 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|33 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

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

Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

Prove that: 2tan^(-1)1/2+tan^(-1)1/7=tan^(-1)(31)/(17)

Prove that, tan((A)/(2)+B)=(c+b)/(c-b)tan((A)/(2))

Prove the following identities : (tanA)/(secA-1)+(tanA)/(secA+1)=2cosecA

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

Prove that sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15

Prove that: (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

Prove that, (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

Prove that, (cosA-cosB)^(2)+(sinA-sinB)^(2)=4sin^(2)((A-B)/(2))