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NEET Class neet Answered

If x=2(¢ + sin¢) and y= 2(1- cos¢) then value of dy/dx  will be
Asked by namratas1 | 04 Aug, 2019, 01:04: PM
answered-by-expert Expert Answer
y = 2(1 - cosθ )   ;  dy/dθ = 2 sinθ  ......................... (1)
 
x = 2(θ + sinθ)  ; dx/dθ = 2+2cosθ .......................... (2)
 
dy/dx = sinθ / ( 1+cosθ ) =  [ 2 sin(θ/2) cos(θ/2) ] / [ 2 cos2 (θ/2) ] = tan(θ/2) ................ (3)
 
Answered by Thiyagarajan K | 04 Aug, 2019, 01:36: PM
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