Home
Class 10
MATHS
Prove that (cosA-sinA+1)/(cosA+sinA-1) ...

Prove that `(cosA-sinA+1)/(cosA+sinA-1) =cosec A+ cot A` using the identity `cosec^(2)A=1+cot^(2)A`.

Text Solution

AI Generated Solution

To prove that \[ \frac{\cos A - \sin A + 1}{\cos A + \sin A - 1} = \csc A + \cot A \] using the identity \(\csc^2 A = 1 + \cot^2 A\), we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|29 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8a|20 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

cosA/(1−sinA) =

Prove that : (1 + cos A)/(1 - cos A) = (cosec A + cot A)^(2)

Prove that : (cosA)/(1+sinA)+(1+sinA)/(cosA)=2secA.

Prove that : (cot^(2) A)/(cosec A - 1) - 1 = cosec A

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

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

Prove that : (cos A cot A)/ (1 - sin A) = 1 + cosec A

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

Prove that (1+cosA)/(1-cosA)=("cosec" A+cotA)^(2)

Prove that : (sinA+cosA)^(2)+(sinA-cosA)^(2)=2