Trigonometric Equations - JEE Advanced PYQ | Last 5 years | PYQ Khazana #jeeadvancedPYQ

Let f : [0, 2]- R be the function defined by
f(x)=(3-sin(2πx)) sin(πx-π/4)-sin(3πx+π/4)
If α, ß € [0, 2] are such that {x € [0, 2] : f(x) ≥ 0} = [α, ß], then the value of ß - α is

Answer the following by appropriately matching the lists based on the information given in the paragraph.
Let f(x) = sin(π cosx) and g(x) = cos(2π sinx) be two functions defined for x greater than 0. Define the following sets whose elements are written in the increasing order :
X={x: f(x)=0},
Z= {x:g(x)=0},
Y = {x: f'(x)=0}
W ={x:g'(x)=0}

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JEE Advanced PYQ
Trigonometric Equations

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