If x = sint and y = sin pt, prove that ![]()

We have,
x = sin t and y = sin pt
⇒ ![]()
∴ ![]()
⇒ ![]()
Differentiating both sides w.r.t x, we get

⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
Hence proved.
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