I 33. Prove that
cose+sine cos' e-sin'e
cos O + sin cos - sin
+
= 2
it's urgent
no irrelevant ans.
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Answer:
xsin
3
θ+ycos
3
θ=sinθcosθ
(xsinθ)sin
2
θ+(ycosθ)cos
2
θ=sinθcosθ
(xsinθ)sin
2
θ+(xsinθ)cos
2
θ=sinθcosθ
xsinθ=sinθcosθ
x=cosθ
Again, ycosθ=xsinθ
ycosθ=cosθsinθ
y=sinθ
Therefore,
x
2
+y
2
=sin
2
θ+cos
2
θ=1.
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