If x= {\a} \cos \theta ; {\y}= {\b} \sin \theta, then find ...

CBSE Class 12 Math 2020 Delhi Set 1 Solved Paper

Question : 23

Total: 36

If x=a‌cos‌θ;y=bsin‌θ, then find ‌

d2y

dx2

.
OR
Find the differential of sin‌2x w.r.t. ecos‌x.

Solution: 👈: Video Solution

OR
Let P=sin‌x
Q=ecos‌x
On differentiating eq.(1) w.r.t. we get
‌

=‌

(sin‌2x)=2sin‌x‌cos‌x
On differentiating eq.(2) w.r.t we get
‌

dθ

=‌

(ecos‌x)=−ecos‌xsin‌x.
dividing eq.(3) and (4)
‌

‌

dθ

=‌

2sin‌x‌cos‌x

−ecos‌xsin‌x

=‌

−2‌cos‌x

ecos‌x

[‌

‌

dθ

=‌

−2‌cos‌x

ecos‌x

]

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