Flag Trigonometry> SIN COS FUNCTIONS...
question mark

prove that:- sin^6(A) + cos^6(A) = 1 - 3sin^2(A) cos^2(A)

Ajay Kumar , 14 Years ago
Grade 11
anser 3 Answers
jagdish singh singh

Last Activity: 14 Years ago

743_24699_171.gif

ANKIT BATHLA

Last Activity: 14 Years ago

sin6x+cos6x=(sin2x)3+(cos2x)+3sin2xcos2x(sin2x+cos2x)-3sin2xcos2x(sin2x+cos2x)             =(sin2x+cos2x)3-3sin2xcos2x                           =1-3sin2xcos2x        

Fawz Naim

Last Activity: 14 Years ago

(A+B)^3=A^3+B^3+3AB(A+B)

=>A^3+B^3=(A+B)^3-3AB(A+B)

PUT A=SIN^2(A) AND B=COS^2(A)

SO A^3+B^3  WILL BE  SIN^6(A)+COS^6(A)

NOW SOLVE R.H.S. TO GET THE ANSWER

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...