Home
Class 10
MATHS
Prove that (tanA)/(1+secA) - (tanA)/(1-...

Prove that `(tanA)/(1+secA) - (tanA)/(1-secA) = 2cosecA`

Text Solution

AI Generated Solution

To prove the equation \[ \frac{\tan A}{1 + \sec A} - \frac{\tan A}{1 - \sec A} = 2 \csc A, \] we will start by simplifying the left-hand side (LHS) step by step. ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPES QUESTIONS|18 Videos

  • INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS

    NCERT EXEMPLAR ENGLISH|Exercise VERY SHORT ANSWER TYPE QUESTIONS|11 Videos

  • COORDINATE GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 7.4 Long Answer Type Questions|6 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 3.4 Long Answer Type Questions|13 Videos

Similar Questions

Explore conceptually related problems

i) Prove that: [(1-sinA)/(1-secA)-(1+sinA)/(1+secA)]=2cotA(cosA-"cosec"A)

Prove that: tanA(1+sec2A)=tan2A

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

Prove that 1+tan^2A/(1+secA)=secA

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

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

prove that (1)/(secA - tanA) = secA + tanA

Prove that: (tanA+ sec A-1)/(tan A-secA+1)=(cosA)/(1-sinA)

prove that ((1-tanA)/(1-cotA))^2=tan^2A

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