Answer:
Distance between two points (x
1
,y
) and (x
2
) is given by
(x
−x
)
+(y
−y
Given points are P(asinα,acosα) and Q(acosα,−asinα)
PQ=
(acosα−asinα)
+(−asinα−acosα)
=
a
(cosα−sinα)
+a
(sinα−cosα)
(cos
α+sin
α−2sinαcosα+cos
α+2sinαcosα)
=a
2sin
α+2cos
α
units ( because sin
α+cos
α=1
Step-by-step explanation:
let the theta be a
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Answers & Comments
Answer:
Distance between two points (x
1
,y
1
) and (x
2
,y
2
) is given by
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
Given points are P(asinα,acosα) and Q(acosα,−asinα)
PQ=
(acosα−asinα)
2
+(−asinα−acosα)
2
=
a
2
(cosα−sinα)
2
+a
2
(sinα−cosα)
2
=
a
2
(cos
2
α+sin
2
α−2sinαcosα+cos
2
α+sin
2
α+2sinαcosα)
=a
2sin
2
α+2cos
2
α
=a
2
units ( because sin
2
α+cos
2
α=1
Step-by-step explanation:
let the theta be a