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If A = {x : cosx > - 1/2 and 0 ≤ x ≤ π} , B = {x : sinx > 1/2 and π/3 ≤ x ≤ π}Then A ∩ B =(A) [π, 5π/6)(B) [π, 7π/6)(C) [π/3, 2π/3)(D) [0, 5π/6)The given answer is:(C) [π/3, 2π/3)but shouldn't it be [π/6, 2π/3) ?????Please help......

Akshay Kandpal , 13 Years ago
Grade 10
anser 1 Answers
Chetan Mandayam Nayakar

Last Activity: 13 Years ago

cosx>-1/2,leads to A=[0,2π/3)

sinx>1/2 leads to B=(π/6,5π/6)

A∩B = (π/6,2π/3)

The solution in the book is wrong as you suspect.

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