Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

IF 5sinA+3cosA=4 ,then find the value of 3sinA-5cosA .
Asked by | 16 Aug, 2012, 10:08: AM
Expert Answer

We would request you to please cross check the question you posted. However, you can proceed in the following way in such types of questions:

 

(a sin A + b cos A )^2 + (b sin A - a cos A) ^2

= a^2 sin ^2 A + b^2 cos^2 A + 2ab sin A cos A + b^2 sin ^2 A + a^2 cos ^2 A - 2ab cos A sin A
= a^2 + b^2

 

Therefore,

(5sinA + 3cosA)^2 + (3sinA - 5 cosA)^2 = 5^2 + 3^2

16 + (3sinA - 5 cosA)^2 = 25 + 9

(3sinA - 5 cosA)^2 = 18

3sinA - 5 cosA = 3 sqrt 2

Answered by | 16 Aug, 2012, 03:30: PM
CBSE 10 - Maths
Asked by devanshsinghbais111 | 11 Oct, 2022, 01:57: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Bavashreelogasundaram | 22 Sep, 2022, 08:26: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by padmajabchannammanavar | 08 Jun, 2022, 07:28: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sonymeitei23 | 07 Jun, 2022, 05:38: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by prathibhakethavath2 | 03 May, 2022, 06:53: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ankitakulhar075 | 03 Apr, 2022, 08:43: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by adinaditi29 | 14 Mar, 2022, 12:02: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by 5533 | 21 Oct, 2021, 09:58: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by anjaligavit77.10dgatl | 21 Oct, 2021, 05:09: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ambarishpatil7 | 28 Sep, 2021, 08:49: PM
ANSWERED BY EXPERT
Season Break Offer!
Get 60% Flat off instantly.
Avail Now
×