Question

give the answer soon​

Answer 1

Answer:

1) tan theta/2

Step-by-step explanation:

we have, x = 2(theta + sin theta)

diff. w. r. t theta

dx/ d theta = 2(1+ cos theta)

= 2(2 cos² theta/2)

= 4 cos² theta/2 .... (1)

and also, y = 2(1- cos theta)

diff. w. r. t theta

dy/ d theta = 2(0+ sin theta)

= 2 sin theta/2 .... (2)

divide eq. 2 by 1

dy/dx = [2 sin theta]/[4 cos² theta/2]

dy/dx = [2(sin theta/2)(cos theta/2)]/

[2 cos² theta/2]

= [sin theta/2]/[cos theta/2]

= tan theta/2 ....... ans.

So, 1st option is correct.

Answer 2

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