If x=2 \cos \theta-\cos 2 \theta and y=2 \sin \theta- \sin ...

CBSE Class 12 Math 2022 Term I Solved Paper

Question : 22

Total: 50

If x=2‌cos‌θ−cos‌2‌θ and y=2sin‌θ−sin‌2θ, then ‌

Solution: 👈: Video Solution

‌ Explanation: Given, ‌‌x=2‌cos‌θ−cos‌2‌θ
‌ and ‌‌y‌=2sin‌θ−sin‌2θ
‌‌ Therefore, ‌‌‌

dθ

‌=−2sin‌θ+2sin‌2θ
‌ and ‌‌‌

dθ

‌=2‌cos‌θ−2‌cos‌2‌θ
∴‌‌

‌=‌

2‌cos‌θ−2‌cos‌2‌θ

−2sin‌θ+2sin‌2θ

‌‌ or ‌‌‌

‌=‌

cos‌θ−cos‌2‌θ

sin‌2θ−sin‌θ

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