Home
Class 10
MATHS
Porve that : (cosecA-sinA)(secA-cosA)=(...

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

Text Solution

AI Generated Solution

To prove that \((\csc A - \sin A)(\sec A - \cos A) = \frac{1}{\tan A + \cot A}\), we will start by simplifying the left-hand side (LHS) and then show that it equals the right-hand side (RHS). ### Step 1: Start with the left-hand side \[ \text{LHS} = (\csc A - \sin A)(\sec A - \cos A) \] ### Step 2: Substitute the definitions of cosecant and secant ...
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

Prove: (cos e c\ A-sinA)(secA-cosA)(tanA+cotA)=1

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

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

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (ix) (c o s e c\ A\ \ sin\ A)(secA-cosA)=1/(tanA+cotA) [Hint : Simplify LHS and RHS separately]

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

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

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

Prove that : cosec A- cot A =(1)/(cosecA+cotA)

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

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