English

Prove that: cosA1+sinA=secA-tanA - Mathematics

Advertisements
Advertisements

Question

Prove that:

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

Sum

Solution

`cosA/(1+sinA)`

= `cosA/(1 + sinA) xx (1 - sinA)/(1 - sinA)`

= `(cosA(1 - sinA))/(1 - sin^2A)`

= `(cosA(1 - sinA))/(cos^2A)`

= `(1-sinA)/cosA`

= sec A – tan A

shaalaa.com
  Is there an error in this question or solution?
Chapter 21: Trigonometrical Identities - Exercise 21 (E) [Page 333]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (E) | Q 10.03 | Page 333
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×