Request a call back

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

CBSE Class 10 Answered

Kindly solve If cos^4(A)/cos^2(B) + sin^4(A)/son^2(B)=1     Then prove that Cos^4(B)/cos^2(A) + sin^4(B)/sin^2(A) =1
Asked by Kanchanchandra.1989 | 14 Jan, 2020, 10:58: AM
answered-by-expert Expert Answer
Given: cos4(A)/cos2(B) + sin4(A)/sin2(B)=1
rightwards double arrow fraction numerator cos to the power of 4 A over denominator cos squared B end fraction plus fraction numerator sin to the power of 4 A over denominator sin squared B end fraction equals 1 open parentheses sin squared A plus cos squared A close parentheses
rightwards double arrow fraction numerator cos to the power of 4 A over denominator cos squared B end fraction minus cos squared A equals sin squared A minus fraction numerator sin to the power of 4 A over denominator sin squared B end fraction
rightwards double arrow fraction numerator cos to the power of 4 A minus cos squared A cos squared B over denominator cos squared B end fraction equals fraction numerator sin squared A sin squared B minus sin to the power of 4 A over denominator sin squared B end fraction
rightwards double arrow fraction numerator cos squared A over denominator cos squared B end fraction open parentheses cos squared A minus cos squared B close parentheses equals fraction numerator sin squared A over denominator sin squared B end fraction open parentheses sin squared B minus sin squared A close parentheses
rightwards double arrow fraction numerator cos squared A over denominator cos squared B end fraction open parentheses cos squared A minus cos squared B close parentheses equals fraction numerator sin squared A over denominator sin squared B end fraction open parentheses 1 minus cos squared B minus 1 plus cos squared A close parentheses
rightwards double arrow fraction numerator cos squared A over denominator cos squared B end fraction open parentheses cos squared A minus cos squared B close parentheses equals fraction numerator sin squared A over denominator sin squared B end fraction open parentheses cos squared A minus cos squared B close parentheses
rightwards double arrow open parentheses fraction numerator cos squared A over denominator cos squared B end fraction minus fraction numerator sin squared A over denominator sin squared B end fraction close parentheses open parentheses cos squared A minus cos squared B close parentheses equals 0
cos squared A minus cos squared B equals 0 space space space rightwards double arrow space space cos squared A equals cos squared B
rightwards double arrow 1 minus sin squared A equals 1 minus sin squared B space rightwards double arrow space sin squared A equals sin squared B
C o n s i d e r comma
fraction numerator cos to the power of 4 B over denominator cos squared A end fraction plus fraction numerator sin to the power of 4 B over denominator sin squared A end fraction equals fraction numerator cos to the power of 4 B over denominator cos squared B end fraction plus fraction numerator sin to the power of 4 B over denominator sin squared B end fraction equals cos squared B plus sin squared B equals 1
H e n c e comma space fraction numerator cos to the power of 4 B over denominator cos squared A end fraction plus fraction numerator sin to the power of 4 B over denominator sin squared A end fraction equals
Answered by Renu Varma | 20 Jan, 2020, 11:39: AM

Application Videos

CBSE 10 - Maths
Asked by mukammilh19 | 07 May, 2024, 02:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pm86982 | 10 Apr, 2023, 12:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by adinaditi29 | 14 Mar, 2022, 12:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ambarishpatil7 | 28 Sep, 2021, 08:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by manish.mayuka | 02 May, 2021, 02:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by abhishekmonupatel27 | 23 Feb, 2021, 04:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
square root of fraction numerator 1 plus sin empty set over denominator 1 minus sin empty set end fraction end root plus square root of fraction numerator 1 minus sin empty set over denominator 1 plus sin empty set end fraction end root equals 2 s e c empty set
Asked by kushalkush371 | 27 Dec, 2020, 07:31: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pramoddomarp121 | 26 Sep, 2020, 06:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by satishcharan533 | 24 Sep, 2020, 02:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kalladaprem | 24 Sep, 2020, 08:20: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×