If x = a cos³0 and y = b sin³0, prove that (^³ + ( = 1.
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x=acos
3
θ
y=bsin
3
θ
L.H.S
=(
a
x
)
2/3
+(
b
x
)
2/3
=(
a
acos
3
θ
)
2/3
+(
b
bsin
3
θ
)
2/3
=(cos
3
θ)
2/3
+(sin
3
θ)
2/3
=cos
2
θ+sin
2
θ
=1
=R.H.S
Hope this was useful
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